Journal articles on the topic 'Numerical analysis of partial differential equation'
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Alharthi, Nadiyah Hussain, Abdon Atangana, and Badr S. Alkahtani. "Numerical analysis of some partial differential equations with fractal-fractional derivative." AIMS Mathematics 8, no. 1 (2022): 2240–56. http://dx.doi.org/10.3934/math.2023116.
Full textKurbonov, Elyorjon, Nodir Rakhimov, Shokhabbos Juraev, and Feruza Islamova. "Derive the finite difference scheme for the numerical solution of the first-order diffusion equation IBVP using the Crank-Nicolson method." E3S Web of Conferences 402 (2023): 03029. http://dx.doi.org/10.1051/e3sconf/202340203029.
Full textSanz-Serna, J. M. "A Numerical Method for a Partial Integro-Differential Equation." SIAM Journal on Numerical Analysis 25, no. 2 (April 1988): 319–27. http://dx.doi.org/10.1137/0725022.
Full textZhao, J., M. S. Cheung, and S. F. Ng. "Spline Kantorovich method and analysis of general slab bridge deck." Canadian Journal of Civil Engineering 25, no. 5 (October 1, 1998): 935–42. http://dx.doi.org/10.1139/l98-030.
Full textPyanylo, Yaroslav, and Galyna Pyanylo. "Analysis of approaches to mass-transfer modeling n non-stationary mode." Physico-mathematical modelling and informational technologies, no. 28, 29 (December 27, 2019): 55–64. http://dx.doi.org/10.15407/fmmit2020.28.055.
Full textAbrashina-Zhadaeva, N., and N. Romanova. "Vector Additive Decomposition for 2D Fractional Diffusion Equation." Nonlinear Analysis: Modelling and Control 13, no. 2 (April 25, 2008): 137–43. http://dx.doi.org/10.15388/na.2008.13.2.14574.
Full textReinfelds, Andrejs, Olgerts Dumbrajs, Harijs Kalis, Janis Cepitis, and Dana Constantinescu. "NUMERICAL EXPERIMENTS WITH SINGLE MODE GYROTRON EQUATIONS." Mathematical Modelling and Analysis 17, no. 2 (April 1, 2012): 251–70. http://dx.doi.org/10.3846/13926292.2012.662659.
Full textCompany, R., L. Jódar, M. Fakharany, and M. C. Casabán. "Removing the Correlation Term in Option Pricing Heston Model: Numerical Analysis and Computing." Abstract and Applied Analysis 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/246724.
Full textKim, Sung-Hoon, and Youn-sik Park. "An Improved Finite Difference Type Numerical Method for Structural Dynamic Analysis." Shock and Vibration 1, no. 6 (1994): 569–83. http://dx.doi.org/10.1155/1994/139352.
Full textRatas, Mart, Andrus Salupere, and Jüri Majak. "SOLVING NONLINEAR PDES USING THE HIGHER ORDER HAAR WAVELET METHOD ON NONUNIFORM AND ADAPTIVE GRIDS." Mathematical Modelling and Analysis 26, no. 1 (January 18, 2021): 147–69. http://dx.doi.org/10.3846/mma.2021.12920.
Full textTurut, Veyis, and Nuran Güzel. "Multivariate Padé Approximation for Solving Nonlinear Partial Differential Equations of Fractional Order." Abstract and Applied Analysis 2013 (2013): 1–12. http://dx.doi.org/10.1155/2013/746401.
Full textKhattri, Sanjay Kumar. "Nonlinear elliptic problems with the method of finite volumes." Differential Equations and Nonlinear Mechanics 2006 (2006): 1–16. http://dx.doi.org/10.1155/denm/2006/31797.
Full textModanli, Mahmut, Bawar Mohammed Faraj, and Faraedoon Waly Ahmed. "Using matrix stability for variable telegraph partial differential equation." An International Journal of Optimization and Control: Theories & Applications (IJOCTA) 10, no. 2 (July 1, 2020): 237–43. http://dx.doi.org/10.11121/ijocta.01.2020.00870.
Full textWan-xie, Zhong, and Zhong Xiang-Xiang. "Elliptic partial differential equation and optimal control." Numerical Methods for Partial Differential Equations 8, no. 2 (March 1992): 149–69. http://dx.doi.org/10.1002/num.1690080206.
Full textFroese, Brittany D., and Adam M. Oberman. "Convergent Filtered Schemes for the Monge--Ampère Partial Differential Equation." SIAM Journal on Numerical Analysis 51, no. 1 (January 2013): 423–44. http://dx.doi.org/10.1137/120875065.
Full textWoolway, Matthew, Byron A. Jacobs, Ebrahim Momoniat, Charis Harley, and Dieter Britz. "Numerical Convergence Analysis of the Frank–Kamenetskii Equation." Entropy 22, no. 1 (January 9, 2020): 84. http://dx.doi.org/10.3390/e22010084.
Full textGavrilov, S. V., and A. M. Denisov. "Numerical Solution Methods for a Nonlinear Operator Equation Arising in an Inverse Coefficient Problem." Differential Equations 57, no. 7 (July 2021): 868–75. http://dx.doi.org/10.1134/s0012266121070041.
Full textHIKIHARA, TAKASHI, KENTARO TORII, and YOSHISUKE UEDA. "WAVE AND BASIN STRUCTURE IN SPATIALLY COUPLED MAGNETO-ELASTIC BEAM SYSTEM — TRANSITIONS BETWEEN COEXISTING WAVE SOLUTIONS." International Journal of Bifurcation and Chaos 11, no. 04 (April 2001): 999–1018. http://dx.doi.org/10.1142/s0218127401002523.
Full textEmmrich, Etienne, and David Šiška. "Full discretisation of second-order nonlinear evolution equations: strong convergence and applications." Computational Methods in Applied Mathematics 11, no. 4 (2011): 441–59. http://dx.doi.org/10.2478/cmam-2011-0025.
Full textMerdan, Mehmet, Ahmet Gökdoğan, Ahmet Yıldırım, and Syed Tauseef Mohyud-Din. "Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method." Abstract and Applied Analysis 2012 (2012): 1–8. http://dx.doi.org/10.1155/2012/965367.
Full textBENALI, ABDELKADER. "NUMERICAL RESOLUTION OF NON-LINEAR EQUATIONS." Journal of Science and Arts 23, no. 3 (September 30, 2023): 721–28. http://dx.doi.org/10.46939/j.sci.arts-23.3-a14.
Full textALdarawi, Iman, Banan Maayah, Eman Aldabbas, and Eman Abuteen. "Numerical Solutions of Some Classes of Partial Differential Equations of Fractional Order." European Journal of Pure and Applied Mathematics 16, no. 4 (October 30, 2023): 2132–44. http://dx.doi.org/10.29020/nybg.ejpam.v16i4.4928.
Full textYaxubayev, Kamil D., and Dinara D. Kochergina. "Numerical Analysis of the Exact Solution of the Wave Equation of the Longitudinal Seismic Oscillations of Soil and the Construction as a Point Insertion." Materials Science Forum 931 (September 2018): 152–57. http://dx.doi.org/10.4028/www.scientific.net/msf.931.152.
Full textCohn, Stephen E., and Dick P. Dee. "Observability of Discretized Partial Differential Equations." SIAM Journal on Numerical Analysis 25, no. 3 (June 1988): 586–617. http://dx.doi.org/10.1137/0725037.
Full textTaghipour, M., and H. Aminikhah. "Pell Collocation Method for Solving the Nonlinear Time–Fractional Partial Integro–Differential Equation with a Weakly Singular Kernel." Journal of Function Spaces 2022 (May 23, 2022): 1–15. http://dx.doi.org/10.1155/2022/8063888.
Full textBin Jebreen, Haifa, and Carlo Cattani. "Solving Time-Fractional Partial Differential Equation Using Chebyshev Cardinal Functions." Axioms 11, no. 11 (November 14, 2022): 642. http://dx.doi.org/10.3390/axioms11110642.
Full textMurata, Souichi. "Nonclassical symmetry analysis for hyperbolic partial differential equation." Communications in Nonlinear Science and Numerical Simulation 13, no. 8 (October 2008): 1472–74. http://dx.doi.org/10.1016/j.cnsns.2006.10.009.
Full textYan, Huahong. "Adaptive Wavelet Precise Integration Method for Nonlinear Black-Scholes Model Based on Variational Iteration Method." Abstract and Applied Analysis 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/735919.
Full textShah, Kamal, Hafsa Naz, Muhammad Sarwar, and Thabet Abdeljawad. "On spectral numerical method for variable-order partial differential equations." AIMS Mathematics 7, no. 6 (2022): 10422–38. http://dx.doi.org/10.3934/math.2022581.
Full textTang, Quan, Ziyang Luo, Xindong Zhang, and Juan Liu. "Analysis of Two-Level Mesh Method for Partial Integro-Differential Equation." Journal of Function Spaces 2022 (July 13, 2022): 1–10. http://dx.doi.org/10.1155/2022/4557844.
Full textHemeda, A. A. "Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/717540.
Full textSultana, Mariam, Uroosa Arshad, Abdel-Haleem Abdel-Aty, Ali Akgül, Mona Mahmoud, and Hichem Eleuch. "New Numerical Approach of Solving Highly Nonlinear Fractional Partial Differential Equations via Fractional Novel Analytical Method." Fractal and Fractional 6, no. 9 (September 12, 2022): 512. http://dx.doi.org/10.3390/fractalfract6090512.
Full textChen, Yong, and Hongjun Gao. "Auxiliary equation method for solving nonlinear Wick-type partial differential equations." Communications in Nonlinear Science and Numerical Simulation 16, no. 6 (June 2011): 2421–37. http://dx.doi.org/10.1016/j.cnsns.2010.09.014.
Full textMourabit, A. El. "Parameters identification for a nonlinear partial differential equation in image denoising." Moroccan Journal of Pure and Applied Analysis 9, no. 1 (January 1, 2023): 141–53. http://dx.doi.org/10.2478/mjpaa-2023-0010.
Full textEl Moutea, Omar, and Hassan El Amri. "Combined mixed finite element and nonconforming finite volume methods for flow and transport in porous media." Analysis 41, no. 3 (July 23, 2021): 123–44. http://dx.doi.org/10.1515/anly-2018-0019.
Full textYserentant, Harry. "Old and new convergence proofs for multigrid methods." Acta Numerica 2 (January 1993): 285–326. http://dx.doi.org/10.1017/s0962492900002385.
Full textLord, Gabriel J., and Tony Shardlow. "Postprocessing for Stochastic Parabolic Partial Differential Equations." SIAM Journal on Numerical Analysis 45, no. 2 (January 2007): 870–89. http://dx.doi.org/10.1137/050640138.
Full textAghili, Arman. "Non-homogeneous impulsive time fractional heat conduction equation." Journal of Numerical Analysis and Approximation Theory 52, no. 1 (July 10, 2023): 22–33. http://dx.doi.org/10.33993/jnaat521-1316.
Full textZheng, Jiachun, and Yunlei Yang. "M-WDRNNs: Mixed-Weighted Deep Residual Neural Networks for Forward and Inverse PDE Problems." Axioms 12, no. 8 (July 30, 2023): 750. http://dx.doi.org/10.3390/axioms12080750.
Full textMunoz, Ana Isabel, and Jose Ignacio Tello. "MATHEMATICAL ANALYSIS AND NUMERICAL SIMULATION IN MAGNETIC RECORDING." Mathematical Modelling and Analysis 19, no. 3 (June 1, 2014): 334–46. http://dx.doi.org/10.3846/13926292.2014.924081.
Full textZhu, Yuanye. "Quantum-Solving Algorithm for d’Alembert Solutions of the Wave Equation." Entropy 25, no. 1 (December 29, 2022): 62. http://dx.doi.org/10.3390/e25010062.
Full textCebers, Andrejs, and Harijs Kalis. "NUMERICAL SIMULATION OF MAGNETIC DROPLET DYNAMICS IN A ROTATING FIELD." Mathematical Modelling and Analysis 18, no. 1 (February 1, 2013): 80–96. http://dx.doi.org/10.3846/13926292.2013.756835.
Full textBachmayr, Markus. "Low-rank tensor methods for partial differential equations." Acta Numerica 32 (May 2023): 1–121. http://dx.doi.org/10.1017/s0962492922000125.
Full textOtto, Kurt. "Analysis of Preconditioners for Hyperbolic Partial Differential Equations." SIAM Journal on Numerical Analysis 33, no. 6 (December 1996): 2131–65. http://dx.doi.org/10.1137/s0036142994264894.
Full textYang, Miaomiao, Wentao Ma, and Yongbin Ge. "BARYCENTRIC RATIONAL INTERPOLATION METHOD OF THE HELMHOLTZ EQUATION WITH IRREGULAR DOMAIN." Mathematical Modelling and Analysis 28, no. 2 (March 21, 2023): 330–51. http://dx.doi.org/10.3846/mma.2023.16408.
Full textWu, Fangfang, Chuangui Lu, Yingying Wang, and Na Hu. "Lattice Boltzmann Model for a Class of Time Fractional Partial Differential Equation." Axioms 12, no. 10 (October 11, 2023): 959. http://dx.doi.org/10.3390/axioms12100959.
Full textYuan, Yirang, Qing Yang, Changfeng Li, and Tongjun Sun. "A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis." Numerical Mathematics: Theory, Methods and Applications 10, no. 3 (June 20, 2017): 541–61. http://dx.doi.org/10.4208/nmtma.2017.y15013.
Full textBlanco, Pablo, Paola Gervasio, and Alfio Quarteroni. "Extended Variational Formulation for Heterogeneous Partial Differential Equations." Computational Methods in Applied Mathematics 11, no. 2 (2011): 141–72. http://dx.doi.org/10.2478/cmam-2011-0008.
Full textLeng, Yu, Lampros Svolos, Dibyendu Adak, Ismael Boureima, Gianmarco Manzini, Hashem Mourad, and Jeeyeon Plohr. "A guide to the design of the virtual element methods for second- and fourth-order partial differential equations." Mathematics in Engineering 5, no. 6 (2023): 1–22. http://dx.doi.org/10.3934/mine.2023100.
Full textBellen, Alfredo, Stefano Maset, Marino Zennaro, and Nicola Guglielmi. "Recent trends in the numerical solution of retarded functional differential equations." Acta Numerica 18 (May 2009): 1–110. http://dx.doi.org/10.1017/s0962492906390010.
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