Relevant bibliographies by topics / Heat equation Numerical solutions

Academic literature on the topic 'Heat equation Numerical solutions'

Author: Grafiati
Published: 4 June 2021
Last updated: 13 February 2022

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Contents

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Heat equation Numerical solutions.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Heat equation Numerical solutions"

1

Kafle, J., L. P. Bagale, and D. J. K. C. "Numerical Solution of Parabolic Partial Differential Equation by Using Finite Difference Method." Journal of Nepal Physical Society 6, no. 2 (December 31, 2020): 57–65. http://dx.doi.org/10.3126/jnphyssoc.v6i2.34858.

Full text
Abstract:
In the real world, many physical problems like heat equation, wave equation, Laplace equation and Poisson equation are modeled by partial differential equations (PDEs). A PDE of the form ut = α uxx, (α > 0) where x and t are independent variables and u is a dependent variable; is a one-dimensional heat equation. This is an example of a prototypical parabolic equation. The heat equation has analytic solution in regular shape domain. If the domain has irregular shape, computing analytic solution of such equations is difficult. In this case, we can use numerical methods to compute the solution of such PDEs. Finite difference method is one of the numerical methods that is used to compute the solutions of PDEs by discretizing the given domain into finite number of regions. Here, we derived the Forward Time Central Space Scheme (FTCSS) for this heat equation. We also computed its numerical solution by using FTCSS. We compared the analytic solution and numerical solution for different homogeneous materials (for different values of diffusivity α). There is instantaneous heat transfer and heat loss for the materials with higher diffusivity (α) as compared to the materials of lower diffusivity. Finally, we compared simulation results of different non-homogeneous materials.
APA, Harvard, Vancouver, ISO, and other styles
2

Tadeu, A., C. S. Chen, J. António, and Nuno Simões. "A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform." Advances in Applied Mathematics and Mechanics 3, no. 5 (October 2011): 572–85. http://dx.doi.org/10.4208/aamm.10-m1039.

Full text
Abstract:
AbstractFourier transform is applied to remove the time-dependent variable in the diffusion equation. Under non-harmonic initial conditions this gives rise to a non-homogeneous Helmholtz equation, which is solved by the method of fundamental solutions and the method of particular solutions. The particular solution of Helmholtz equation is available as shown in [4, 15]. The approximate solution in frequency domain is then inverted numerically using the inverse Fourier transform algorithm. Complex frequencies are used in order to avoid aliasing phenomena and to allow the computation of the static response. Two numerical examples are given to illustrate the effectiveness of the proposed approach for solving 2-D diffusion equations.
APA, Harvard, Vancouver, ISO, and other styles
3

Korpinar, Zeliha. "On numerical solutions for the Caputo-Fabrizio fractional heat-like equation." Thermal Science 22, Suppl. 1 (2018): 87–95. http://dx.doi.org/10.2298/tsci170614274k.

Full text
Abstract:
In this article, Laplace homotopy analysis method in order to solve fractional heat-like equation with variable coefficients, are introduced. Laplace homotopy analysis method, founded on combination of homotopy methods and Laplace transform is used to supply a new analytical approximated solutions of the fractional partial differential equations in case of the Caputo-Fabrizio. The solutions obtained are compared with exact solutions of these equations. Reliability of the method is given with graphical consequens and series solutions. The results show that the method is a powerfull and efficient for solving the fractional heat-like equations with variable coefficients.
APA, Harvard, Vancouver, ISO, and other styles
4

Edja, Kouame Beranger, Kidjegbo Augustin Toure, and Brou Jean-Claude Koua. "Numerical Blow-up for A Heat Equation with Nonlinear Boundary Conditions." Journal of Mathematics Research 10, no. 5 (September 6, 2018): 119. http://dx.doi.org/10.5539/jmr.v10n5p119.

Full text
Abstract:
We study numerical approximations of solutions of a heat equation with nonlinear boundary conditions which produce blow-up of the solutions. By a semidiscretization using a finite difference scheme in the space variable we get a system of ordinary differential equations which is an approximation of the original problem. We obtain sufficient conditions which guarantee the blow-up solution of this system in a finite time. We also show that this blow-up time converges to the theoretical one when the mesh size goes to zero. We present some numerical results to illustrate certain point of our work.
APA, Harvard, Vancouver, ISO, and other styles
5

Kochneff, Elizabeth, Yoram Sagher, and Kecheng Zhou. "Homogeneous solutions of the heat equation." Journal of Approximation Theory 69, no. 1 (April 1992): 35–47. http://dx.doi.org/10.1016/0021-9045(92)90047-r.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Zhang, K. "On coupling between the Poincaré equation and the heat equation: non-slip boundary condition." Journal of Fluid Mechanics 284 (February 10, 1995): 239–56. http://dx.doi.org/10.1017/s0022112095000346.

Full text
Abstract:
In contrast to the well-known columnar convection mode in rapidly rotating spherical fluid systems, the viscous dissipation of the preferred convection mode at sufficiently small Prandtl numberPrtakes place only in the Ekman boundary layer. It follows that different types of velocity boundary condition lead to totally different forms of the asymptotic relationship between the Rayleigh numberRand the Ekman numberEfor the onset of convection. We extend both perturbation and numerical analyses with the stress-free boundary condition (Zhang 1994) in rapidly rotating spherical systems to those with the non-slip boundary condition. Complete analytical solutions – the critical parameters for the onset of convection and the corresponding flow and temperature structure – are obtained and a new asymptotic relation betweenRandEis derived. While an explicit solution of the Ekman boundary-layer problem can be avoided by constructing a proper surface integral in the case of the stress-free boundary problem, an explicit solution of the spherical Ekman boundary layer is required and then obtained to derive the solvability condition for the present problem. In the corresponding numerical analysis, velocity and temperature are expanded in terms of spherical harmonics and Chebychev functions. Accurate numerical solutions are obtained in the asymptotic regime of smallEandPr, and comparison between the analytical and numerical solutions is then made to demonstrate that a satisfactory quantitative agreement between the analytical and numerical analyses is reached.
APA, Harvard, Vancouver, ISO, and other styles
7

Agyeman, Edmund, and Derick Folson. "Algorithm Analysis of Numerical Solutions to the Heat Equation." International Journal of Computer Applications 79, no. 5 (October 18, 2013): 11–19. http://dx.doi.org/10.5120/13736-1535.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Čiegis, Raimondas. "NUMERICAL SOLUTION OF HYPERBOLIC HEAT CONDUCTION EQUATION." Mathematical Modelling and Analysis 14, no. 1 (March 31, 2009): 11–24. http://dx.doi.org/10.3846/1392-6292.2009.14.11-24.

Full text
Abstract:
Hyperbolic heat conduction problem is solved numerically. The explicit and implicit Euler schemes are constructed and investigated. It is shown that the implicit Euler scheme can be used to solve efficiently parabolic and hyperbolic heat conduction problems. This scheme is unconditionally stable for both problems. For many integration methods strong numerical oscillations are present, when the initial and boundary conditions are discontinuous for the hyperbolic problem. In order to regularize the implicit Euler scheme, a simple linear relation between time and space steps is proposed, which automatically introduces sufficient amount of numerical viscosity. Results of numerical experiments are presented.
APA, Harvard, Vancouver, ISO, and other styles
9

Mhammad, Aree A., Faraidun K. Hama Salh, and Najmadin W. Abdulrahman. "Numerical Solution for Non-Stationary Heat Equation in Cooling of Computer Radiator System." Journal of Zankoy Sulaimani - Part A 12, no. 1 (November 5, 2008): 97–102. http://dx.doi.org/10.17656/jzs.10199.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Kandel, H. P., J. Kafle, and L. P. Bagale. "Numerical Modelling on the Influence of Source in the Heat Transformation: An Application in the Metal Heating for Blacksmithing." Journal of Nepal Physical Society 7, no. 2 (August 6, 2021): 97–101. http://dx.doi.org/10.3126/jnphyssoc.v7i2.38629.

Full text
Abstract:
Many physical problems, such as heat transfer and wave transfer, are modeled in the real world using partial differential equations (PDEs). When the domain of such modeled problems is irregular in shape, computing analytic solution becomes difficult, if not impossible. In such a case, numerical methods can be used to compute the solution of such PDEs. The Finite difference method (FDM) is one of the numerical methods used to compute the solutions of PDEs by discretizing the domain into a finite number of regions. We used FDMs to compute the numerical solutions of the one dimensional heat equation with different position initial conditions and multiple initial conditions. Blacksmiths fashioned different metals into the desired shape by heating the objects with different temperatures and at different position. The numerical technique applied here can be used to solve heat equations observed in the field of science and engineering.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Heat equation Numerical solutions"

1

Hayman, Kenneth John. "Finite-difference methods for the diffusion equation." Title page, table of contents and summary only, 1988. http://web4.library.adelaide.edu.au/theses/09PH/09phh422.pdf.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Sweet, Erik. "ANALYTICAL AND NUMERICAL SOLUTIONS OF DIFFERENTIALEQUATIONS ARISING IN FLUID FLOW AND HEAT TRANSFER PROBLEMS." Doctoral diss., University of Central Florida, 2009. http://digital.library.ucf.edu/cdm/ref/collection/ETD/id/2585.

Full text
Abstract:
The solutions of nonlinear ordinary or partial differential equations are important in the study of fluid flow and heat transfer. In this thesis we apply the Homotopy Analysis Method (HAM) and obtain solutions for several fluid flow and heat transfer problems. In chapter 1, a brief introduction to the history of homotopies and embeddings, along with some examples, are given. The application of homotopies and an introduction to the solutions procedure of differential equations (used in the thesis) are provided. In the chapters that follow, we apply HAM to a variety of problems to highlight its use and versatility in solving a range of nonlinear problems arising in fluid flow. In chapter 2, a viscous fluid flow problem is considered to illustrate the application of HAM. In chapter 3, we explore the solution of a non-Newtonian fluid flow and provide a proof for the existence of solutions. In addition, chapter 3 sheds light on the versatility and the ease of the application of the Homotopy Analysis Method, and its capability in handling non-linearity (of rational powers). In chapter 4, we apply HAM to the case in which the fluid is flowing along stretching surfaces by taking into the effects of "slip" and suction or injection at the surface. In chapter 5 we apply HAM to a Magneto-hydrodynamic fluid (MHD) flow in two dimensions. Here we allow for the fluid to flow between two plates which are allowed to move together or apart. Also, by considering the effects of suction or injection at the surface, we investigate the effects of changes in the fluid density on the velocity field. Furthermore, the effect of the magnetic field is considered. Chapter 6 deals with MHD fluid flow over a sphere. This problem gave us the first opportunity to apply HAM to a coupled system of nonlinear differential equations. In chapter 7, we study the fluid flow between two infinite stretching disks. Here we solve a fourth order nonlinear ordinary differential equation. In chapter 8, we apply HAM to a nonlinear system of coupled partial differential equations known as the Drinfeld Sokolov equations and bring out the effects of the physical parameters on the traveling wave solutions. Finally, in chapter 9, we present prospects for future work.
Ph.D.
Department of Mathematics
Sciences
Mathematics PhD
APA, Harvard, Vancouver, ISO, and other styles
3

Sweet, Erik. "Analytical and numerical solutions of differential equations arising in fluid flow and heat transfer problems." Orlando, Fla. : University of Central Florida, 2009. http://purl.fcla.edu/fcla/etd/CFE0002889.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Brubaker, Lauren P. "Completely Residual Based Code Verification." University of Akron / OhioLINK, 2006. http://rave.ohiolink.edu/etdc/view?acc_num=akron1132592325.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Al-Jawary, Majeed Ahmed Weli. "The radial integration boundary integral and integro-differential equation methods for numerical solution of problems with variable coefficients." Thesis, Brunel University, 2012. http://bura.brunel.ac.uk/handle/2438/6449.

Full text
Abstract:
The boundary element method (BEM) has become a powerful method for the numerical solution of boundary-value problems (BVPs), due to its ability (at least for problems with constant coefficients) of reducing a BVP for a linear partial differential equation (PDE) defined in a domain to an integral equation defined on the boundary, leading to a simplified discretisation process with boundary elements only. On the other hand, the coefficients in the mathematical model of a physical problem typically correspond to the material parameters of the problem. In many physical problems, the governing equation is likely to involve variable coefficients. The application of the BEM to these equations is hampered by the difficulty of finding a fundamental solution. The first part of this thesis will focus on the derivation of the boundary integral equation (BIE) for the Laplace equation, and numerical results are presented for some examples using constant elements. Then, the formulations of the boundary-domain integral or integro-differential equation (BDIE or BDIDE) for heat conduction problems with variable coefficients are presented using a parametrix (Levi function), which is usually available. The second part of this thesis deals with the extension of the BDIE and BDIDE formulations to the treatment of the two-dimensional Helmholtz equation with variable coefficients. Four possible cases are investigated, first of all when both material parameters and wave number are constant, in which case the zero-order Bessel function of the second kind is used as fundamental solution. Moreover, when the material parameters are variable (with constant or variable wave number), a parametrix is adopted to reduce the Helmholtz equation to a BDIE or a BDIDE. Finally, when material parameters are constant (with variable wave number), the standard fundamental solution for the Laplace equation is used in the formulation. In the third part, the radial integration method (RIM) is introduced and discussed in detail. Modifications are introduced to the RIM, particularly the fact that the radial integral is calculated by using a pure boundary-only integral which relaxes the “star-shaped” requirement of the RIM. Then, the RIM is used to convert the domain integrals appearing in both BDIE and BDIDE for heat conduction and Helmholtz equations to equivalent boundary integrals. For domain integrals consisting of known functions the transformation is straightforward, while for domain integrals that include unknown variables the transformation is accomplished with the use of augmented radial basis functions (RBFs). The most attractive feature of the method is that the transformations are very simple and have similar forms for both 2D and 3D problems. Finally, the application of the RIM is discussed for the diffusion equation, in which the parabolic PDE is initially reformulated as a BDIE or a BDIDE and the RIM is used to convert the resulting domain integrals to equivalent boundary integrals. Three cases have been investigated, for homogenous, non-homogeneous and variable coefficient diffusion problems.
APA, Harvard, Vancouver, ISO, and other styles
6

Ferreira, Fábio Freitas. "Problemas inversos sobre a esfera." Universidade do Estado do Rio de Janeiro, 2008. http://www.bdtd.uerj.br/tde_busca/arquivo.php?codArquivo=889.

Full text
Abstract:
Fundação Carlos Chagas Filho de Amparo a Pesquisa do Estado do Rio de Janeiro
O objetivo desta tese é o desenvolvimento de algoritmos para determinar as soluções, e para determinação de fontes, das equações de Poisson e da condução de calor definidas em uma esfera. Determinamos as formas das equações de Poisson e de calor sobre a esfera, e desenvolvemos métodos iterativos, baseados em uma malha icosaedral e sua respectiva malha dual, para obter as soluções das mesmas. Mostramos que os métodos iterativos convergem para as soluções das equações discretizadas. Empregamos o método de regularização iterada de Alifanov para resolver o problema inverso, de determinação de fonte, definido na esfera.
The objective of this thesis is the development of algorithms to determine the solutions, and for determination of sources of, the equations of Poisson and heat conduction for a sphere. We establish the form of equations of Poisson and heat on the sphere, and developed iterative methods, based on a icosaedral mesh and its dual mesh, to obtain the solutions for them. It is shown that the iterative methods converge to the solutions of the equations discretizadas. It employed the method of settlement of Alifanov iterated to solve the inverse problem, determination of source, set in the sphere.
APA, Harvard, Vancouver, ISO, and other styles
7

Simmel, Martin. "Two numerical solutions for the stochastic collection equation." Universitätsbibliothek Leipzig, 2016. http://nbn-resolving.de/urn:nbn:de:bsz:15-qucosa-215378.

Full text
Abstract:
Two different methods are used to solve the stochastic collection equation (SCE) numerically. They are called linear discrete method (LDM) and bin shift method (BSM), respectively. Conceptually, both of them are similar to the well-known discrete method (DM) of Kovetz and Olund. For LDM and BSM, their concept is extended to two prognostic moments. Therefore, the \"splitting factors\" (which are constant in time for DM) become time-dependent for LDM and BSM. Simulations are shown for the Golovin kernel (for which an analytical solution is available) and the hydrodynamic kernel after Hall. Different bin resolutions and time steps are investigated. As expected, the results become better with increasing bin resolution. LDM and BSM do not show the anomalous dispersion which is a weakness of DM
Es werden zwei verschiedene Methoden zur numerischen Lösung der \"Gleichung für stochastisches Einsammeln\" (stochastic collection equation, SCE) vorgestellt. Sie werden als Lineare Diskrete Methode (LDM) bzw. Bin Shift Methode (BSM) bezeichnet. Konzeptuell sind beide der bekannten Diskreten Methode (DM) von Kovetz und Olund ähnlich. Für LDM und BSM wird deren Konzept auf zwei prognostische Momente erweitert. Für LDM und BSM werden die\" Aufteil-Faktoren\" (die für DM zeitlich konstant sind) dadurch zeitabhängig. Es werden Simulationsrechnungen für die Koaleszenzfunktion nach Golovin (für die eine analytische Lösung existiert) und die hydrodynamische Koaleszenzfunktion nach Hall gezeigt. Verschiedene Klassenauflösungen und Zeitschritte werden untersucht. Wie erwartet werden die Ergebnisse mit zunehmender Auflösung besser. LDM und BSM zeigen nicht die anomale Dispersion, die eine Schwäche der DM ist
APA, Harvard, Vancouver, ISO, and other styles
8

Simmel, Martin. "Two numerical solutions for the stochastic collection equation." Wissenschaftliche Mitteilungen des Leipziger Instituts für Meteorologie ; 17 = Meteorologische Arbeiten aus Leipzig ; 5 (2000), S. 61-73, 2000. https://ul.qucosa.de/id/qucosa%3A15149.

Full text
Abstract:
Two different methods are used to solve the stochastic collection equation (SCE) numerically. They are called linear discrete method (LDM) and bin shift method (BSM), respectively. Conceptually, both of them are similar to the well-known discrete method (DM) of Kovetz and Olund. For LDM and BSM, their concept is extended to two prognostic moments. Therefore, the \"splitting factors\" (which are constant in time for DM) become time-dependent for LDM and BSM. Simulations are shown for the Golovin kernel (for which an analytical solution is available) and the hydrodynamic kernel after Hall. Different bin resolutions and time steps are investigated. As expected, the results become better with increasing bin resolution. LDM and BSM do not show the anomalous dispersion which is a weakness of DM.
Es werden zwei verschiedene Methoden zur numerischen Lösung der \"Gleichung für stochastisches Einsammeln\" (stochastic collection equation, SCE) vorgestellt. Sie werden als Lineare Diskrete Methode (LDM) bzw. Bin Shift Methode (BSM) bezeichnet. Konzeptuell sind beide der bekannten Diskreten Methode (DM) von Kovetz und Olund ähnlich. Für LDM und BSM wird deren Konzept auf zwei prognostische Momente erweitert. Für LDM und BSM werden die\" Aufteil-Faktoren\" (die für DM zeitlich konstant sind) dadurch zeitabhängig. Es werden Simulationsrechnungen für die Koaleszenzfunktion nach Golovin (für die eine analytische Lösung existiert) und die hydrodynamische Koaleszenzfunktion nach Hall gezeigt. Verschiedene Klassenauflösungen und Zeitschritte werden untersucht. Wie erwartet werden die Ergebnisse mit zunehmender Auflösung besser. LDM und BSM zeigen nicht die anomale Dispersion, die eine Schwäche der DM ist.
APA, Harvard, Vancouver, ISO, and other styles
9

Sjölander, Filip. "Numerical solutions to the Boussinesq equation and the Korteweg-de Vries equation." Thesis, KTH, Skolan för teknikvetenskap (SCI), 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-297544.

Full text
Abstract:
The aim of the report is to numerically construct solutions to two analytically solvable non-linear differential equations: the Korteweg–De Vries equation and the Boussinesq equation. To accomplish this, a range of numerical methods where implemented, including Galerkin methods. To asses the accuracy of the solutions, analytic solutions were derived for reference. Characteristic of both equations is that they support a certain type of wave-solutions called "soliton solutions", which admit an intuitive physical interpretation as solitary traveling waves. Theses solutions are the ones simulated. The solitons are also qualitatively studied in the report.
APA, Harvard, Vancouver, ISO, and other styles
10

Sundqvist, Per. "Numerical Computations with Fundamental Solutions." Doctoral thesis, Uppsala : Acta Universitatis Upsaliensis : Univ.-bibl. [distributör], 2005. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-5757.

Full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Heat equation Numerical solutions"

1

Bamberger, Alain. Analyse, optimisation et filtrage numériques: Anaylse numérique de l'équation de la chaleur. [Palaiseau, France]: Ecole polytechnique, Département de mathématiques appliquées, 1991.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
2

Day, William Alan. Heat conduction within linear thermoelasticity. New York: Springer-Verlag, 1985.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
3

N, Dewynne Jeffrey, ed. Heat conduction. Oxford [Oxfordshire]: Blackwell Scientific Publications, 1987.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Ishii, Audrey L. A numerical solution for the diffusion equation in hydrogeologic systems. Urbana, Ill: Dept. of the Interior, U.S. Geological Survey, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Ishii, Audrey L. A numerical solution for the diffusion equation in hydrogeologic systems. Urbana, Ill: Dept. of the Interior, U.S. Geological Survey, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Ishii, Audrey L. A numerical solution for the diffusion equation in hydrogeologic systems. Urbana, Ill: Dept. of the Interior, U.S. Geological Survey, 1989.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Introduction to Monte Carlo methods for transport and diffusion equations. Oxford: Oxford University Press, 2003.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

The energy method, stability, and nonlinear convection. 2nd ed. New York: Springer, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

The energy method, stability, and nonlinear convection. New York: Springer-Verlag, 1992.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

Inverse Stefan problems. Dordrecht: Kluwer Academic Publishers, 1997.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Heat equation Numerical solutions"

1

Saitoh, Saburou. "Inequalities for the solutions of the heat equation." In International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, 351–59. Basel: Birkhäuser Basel, 1992. http://dx.doi.org/10.1007/978-3-0348-7565-3_27.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Hintermüller, M., S. Volkwein, and F. Diwoky. "Fast Solution Techniques in Constrained Optimal Boundary Control of the Semilinear Heat Equation." In International Series of Numerical Mathematics, 119–47. Basel: Birkhäuser Basel, 2007. http://dx.doi.org/10.1007/978-3-7643-7721-2_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

John, Fritz. "Numerical solution of the equation of heat conduction for preceding times." In Fritz John, 389–402. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4612-5406-5_30.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

John, Fritz. "Numerical solution of the equation of heat conduction for preceding times." In Fritz John, 389–402. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4612-5409-6_30.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Keller, Joseph B., and John S. Lowengrub. "Asymptotic and Numerical Results for Blowing-Up Solutions to Semilinear Heat Equations." In Singularities in Fluids, Plasmas and Optics, 111–29. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-011-2022-7_8.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Bouchon, François, and Gunther H. Peichl. "An Immersed Interface Technique for the Numerical Solution of the Heat Equation on a Moving Domain." In Numerical Mathematics and Advanced Applications 2009, 181–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-11795-4_18.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Koleva, Miglena N. "Numerical Solution of the Heat Equation in Unbounded Domains Using Quasi-uniform Grids." In Large-Scale Scientific Computing, 509–17. Berlin, Heidelberg: Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/11666806_58.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Anastassiou, George A. "Optimal Estimate for the Numerical Solution of Multidimensional Dirichlet Problem for the Heat Equation." In Intelligent Mathematics: Computational Analysis, 749–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-17098-0_45.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Lachaab, Mohamed, Peter R. Turner, and Athanassios S. Fokas. "Numerical Evaluation of Fokas’ Transform Solution of the Heat Equation on the Half-Line." In Advanced Computing in Industrial Mathematics, 245–56. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-97277-0_20.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Lisik, Zbigniew, Janusz Wozny, Malgorzata Langer, and Niccolò Rinaldi. "Analytical Solutions of the Diffusive Heat Equation as the Application for Multi-cellular Device Modeling – A Numerical Aspect." In Computational Science - ICCS 2004, 1021–28. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-25944-2_132.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Heat equation Numerical solutions"

1

Kazakov, A. L., and L. F. Spevak. "Numerical study of travelling wave type solutions for the nonlinear heat equation." In MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2019): Proceedings of the 13th International Conference on Mechanics, Resource and Diagnostics of Materials and Structures. AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5135130.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Zhang, Juntao, and Raj M. Manglik. "Numerical Investigation of Single Bubble Dynamics During Nucleate Boiling in Aqueous Surfactant Solutions." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47047.

Full text
Abstract:
The dynamics of a single growing and departing bubble during nucleate boiling from a horizontal heated surface in an aqueous surfactant solution has been numerically simulated. The full Navier-Stokes equations together with the bulk transport and adsorption-desorption-controlled surfactant interfacial transport equations are solved. A PDE-based fast local level-set method is used to computationally capture the vapor-liquid interface, and the dynamic surface tension is modeled as a body force on the interface. A second-order projection method along with a third-order ENO (essentially non-oscillatory) scheme for differencing the convection terms are applied for solving the momentum equation. The time discretization is dealt with a high order Runge-Kutta method. The multigrid preconditioned conjugate method (MPCG) is employed to solve the projection, which has strongly discontinuous coefficients caused by the physical properties jump across the vapor-liquid interface. The results illustrate the altered bubble dynamics in aqueous surfactant solutions, and their role in enhancing heat transfer.
APA, Harvard, Vancouver, ISO, and other styles
3

Shibata, Daisuke, and Takayuki Utsumi. "Numerical Solutions of Poisson Equation by the CIP-Basis Set Method." In ASME 2009 InterPACK Conference collocated with the ASME 2009 Summer Heat Transfer Conference and the ASME 2009 3rd International Conference on Energy Sustainability. ASMEDC, 2009. http://dx.doi.org/10.1115/interpack2009-89150.

Full text
Abstract:
An accurate and reliable real space method for the ab initio calculation of electronic-structures of materials has been desired. Historically, the most popular method in this field has been the Plane Wave method. However, because the basis functions of the Plane Wave method are not local in real space, it is inefficient to represent the highly localized inner-shell electron state and it generally give rise to a large dense potential matrix which is difficult to deal with. Moreover, it is not suitable for parallel computers, because it requires Fourier transformations. These limitations of the Plane Wave method have led to the development of various real space methods including finite difference method and finite element method, and studies are still in progress. Recently, we have proposed a new numerical method, the CIP-Basis Set (CIP-BS) method [1], by generalizing the concept of the Constrained Interpolation Profile (CIP) method from the viewpoint of the basis set. This method uses a simple polynomial basis set that is easily extendable to any desired higher-order accuracy. The interpolating profile is chosen so that the sub-grid scale solution approaches the local real solution by the constraints from the spatial derivative of the original equation. Thus the solution even on the sub-grid scale becomes consistent with the master equation. By increasing the order of the polynomial, this solution quickly converges. The governing equations are unambiguously discretized into matrix form equations requiring the residuals to be orthogonal to the basis functions via the same procedure as the Galerkin method. We have already demonstrated that the method can be applied to calculations of the band structures for crystals with pseudopotentials. It has been certified that the method gives accurate solutions in the very coarse meshes and the errors converge rapidly when meshes are refined. Although, we have dealt with problems in which potentials are represented analytically, in Kohn-Sham equation the potential is obtained by solving Poisson equation, where the charge density is determined by using wave functions. In this paper, we present the CIP-BS method gives accurate solutions for Poisson equation. Therefore, we believe that the method would be a promising method for solving self-consistent eigenvalue problems in real space.
APA, Harvard, Vancouver, ISO, and other styles
4

Raszkowski, Tomasz, Mariusz Zubert, Marcin Janicki, and Andrzej Napieralski. "Numerical solution of 1-D DPL heat transfer equation." In 2015 MIXDES - 22nd International Conference "Mixed Design of Integrated Circuits & Systems". IEEE, 2015. http://dx.doi.org/10.1109/mixdes.2015.7208558.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Malkov, Eugene, and Michail Ivanov. "Numerical Solution of the Boltzmann Equation in Divergent Form." In 10th AIAA/ASME Joint Thermophysics and Heat Transfer Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2010. http://dx.doi.org/10.2514/6.2010-4503.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Jannelli, Alessandra, Marianna Ruggieri, and Maria Paola Speciale. "Numerical solutions of space-fractional advection-diffusion equation with a source term." In INTERNATIONAL YOUTH SCIENTIFIC CONFERENCE “HEAT AND MASS TRANSFER IN THE THERMAL CONTROL SYSTEM OF TECHNICAL AND TECHNOLOGICAL ENERGY EQUIPMENT” (HMTTSC 2019). AIP Publishing, 2019. http://dx.doi.org/10.1063/1.5114290.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Qubeissi, Mansour al. "Proposing a Numerical Solution for the 3D Heat Conduction Equation." In 2012 6th Asia Modelling Symposium (AMS 2012). IEEE, 2012. http://dx.doi.org/10.1109/ams.2012.10.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Zureigat, Hamzeh H., and Ahmad Izani Md Ismail. "Numerical solution of fuzzy heat equation with two different fuzzifications." In 2016 SAI Computing Conference (SAI). IEEE, 2016. http://dx.doi.org/10.1109/sai.2016.7555966.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Tarmizi, Tarmizi, Evi Safitri, Said Munzir, and Marwan Ramli. "On the numerical solutions of a one-dimensional heat equation: Spectral and Crank Nicolson method." In THE 4TH INDOMS INTERNATIONAL CONFERENCE ON MATHEMATICS AND ITS APPLICATION (IICMA 2019). AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0017131.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Kurokawa, Fa´bio Yukio, Antonio Joa˜o Diniz, and Joa˜o Batista Campos-Silva. "Analytical/Numerical Hybrid Solution for One-Dimensional Ablation Problem." In ASME 2003 Heat Transfer Summer Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/ht2003-47174.

Full text
Abstract:
Ablation is a thermal protection process with several applications in engineering, mainly in the field of airspace industry. The use of conventional materials must be quite restricted, because they would suffer catastrophic flaws due to thermal degradation of their structures. However, the same materials can be quite suitable once being protected by well-known ablative materials. The process that involves the ablative phenomena is complex, could involve the whole or partial loss of material that is sacrificed for absorption of energy. The analysis of the ablative process in a blunt body with revolution geometry will be made on the stagnation point area that can be simplified as a one-dimensional plane plate problem. In this work the Generalized Integral Transform Technique (GITT) is employed for the solution of the non-linear system of coupled partial differential equations that model the phenomena. The solution of the problem is obtained by transforming the non-linear partial differential equation system to a system of coupled first order ordinary differential equations and then solving it by using well-established numerical routines. The results of interest such as the temperature field, the depth and the rate of removal of the ablative material are presented and compared with those ones available in the open literature.
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Heat equation Numerical solutions"

1

Chang, B. Analytical Solutions for Testing Ray-Effect Errors in Numerical Solutions of the Transport Equation. Office of Scientific and Technical Information (OSTI), May 2003. http://dx.doi.org/10.2172/15004539.

Full text
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Heat equation Numerical solutions' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography