Journal articles on the topic 'Gauss-Legendre collocation method'
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Mai, Heng. "Convergence for the optimal control problems using collocation at Legendre-Gauss points." Transactions of the Institute of Measurement and Control 44, no. 6 (October 18, 2021): 1263–74. http://dx.doi.org/10.1177/01423312211043335.
Full textZhang, Ping, Te Li, and Yuan-Hao Zhang. "Space–time spectral collocation method for Klein–Gordon equation." Journal of Algorithms & Computational Technology 15 (January 2021): 174830262110653. http://dx.doi.org/10.1177/17483026211065385.
Full textDoha, E. H., D. Baleanu, A. H. Bhrawy, and R. M. Hafez. "A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/816473.
Full textAbdelkawy, Mohamed A., Hijaz Ahmad, Mdi Begum Jeelani, and Abeer S. Alnahdi. "Fully Legendre spectral collocation technique for stochastic heat equations." Open Physics 19, no. 1 (January 1, 2021): 921–31. http://dx.doi.org/10.1515/phys-2021-0073.
Full textAlgahtani, Obaid, M. A. Abdelkawy, and António M. Lopes. "A pseudo-spectral scheme for variable order fractional stochastic Volterra integro-differential equations." AIMS Mathematics 7, no. 8 (2022): 15453–70. http://dx.doi.org/10.3934/math.2022846.
Full textBhrawy, A. H., and M. A. Alghamdi. "Approximate Solutions of Fisher's Type Equations with Variable Coefficients." Abstract and Applied Analysis 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/176730.
Full textKhan, Sami Ullah, and Ishtiaq Ali. "Numerical analysis of stochastic SIR model by Legendre spectral collocation method." Advances in Mechanical Engineering 11, no. 7 (July 2019): 168781401986291. http://dx.doi.org/10.1177/1687814019862918.
Full textFarzana, Humaira, and Md Shafiqul Islam. "Computation of Some Second Order Sturm-Liouville Bvps using Chebyshev-Legendre Collocation Method." GANIT: Journal of Bangladesh Mathematical Society 35 (June 28, 2016): 95–112. http://dx.doi.org/10.3329/ganit.v35i0.28574.
Full textLiang, Hui. "hp-Legendre–Gauss collocation method for impulsive differential equations." International Journal of Computer Mathematics 94, no. 1 (October 21, 2015): 151–72. http://dx.doi.org/10.1080/00207160.2015.1099632.
Full textZhang, Jian Ming, and Li Jun Yi. "A Legendre-Gauss Collocation Method for the Multi-Pantograph Delay Differential Equation." Applied Mechanics and Materials 444-445 (October 2013): 661–65. http://dx.doi.org/10.4028/www.scientific.net/amm.444-445.661.
Full textWu, Chuanhua, and Ziqiang Wang. "The spectral collocation method for solving a fractional integro-differential equation." AIMS Mathematics 7, no. 6 (2022): 9577–87. http://dx.doi.org/10.3934/math.2022532.
Full textBhrawy, A. H., and M. A. Abdelkawy. "Efficient Spectral Collocation Algorithm for Solving Parabolic Inverse Problems." International Journal of Computational Methods 13, no. 06 (November 2, 2016): 1650036. http://dx.doi.org/10.1142/s0219876216500365.
Full textMashali-Firouzi, Mahmoud, and Mohammad Maleki. "A multiple-step adaptive pseudospectral method for solving multi-order fractional differential equations." Nonlinear Engineering 8, no. 1 (January 28, 2019): 702–18. http://dx.doi.org/10.1515/nleng-2018-0079.
Full textWang, Zhong-Qing, and Li-Lian Wang. "A Legendre-Gauss collocation method for nonlinear delay differential equations." Discrete & Continuous Dynamical Systems - B 13, no. 3 (2010): 685–708. http://dx.doi.org/10.3934/dcdsb.2010.13.685.
Full textZhao, Ting Gang, Zi Lang Zhan, Jin Xia Huo, and Zi Guang Yang. "Legendre Collocation Solution to Fractional Ordinary Differential Equations." Applied Mechanics and Materials 687-691 (November 2014): 601–5. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.601.
Full textLi, Mingwu, Haijun Peng, and Zhigang Wu. "Symplectic Irregular Interpolation Algorithms for Optimal Control Problems." International Journal of Computational Methods 12, no. 06 (December 2015): 1550040. http://dx.doi.org/10.1142/s0219876215500401.
Full textLaouar, Zineb, Nouria Arar, and Abdellatif Ben Makhlouf. "Spectral Collocation Method for Handling Integral and Integrodifferential Equations of n-th Order via Certain Combinations of Shifted Legendre Polynomials." Mathematical Problems in Engineering 2022 (October 8, 2022): 1–10. http://dx.doi.org/10.1155/2022/9043428.
Full textTavassoli Kajani, Majid, Mohammad Maleki, and Adem Kılıçman. "A Multiple-Step Legendre-Gauss Collocation Method for Solving Volterra’s Population Growth Model." Mathematical Problems in Engineering 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/783069.
Full textWu, Hua, Jiajia Pan, and Haichuan Zheng. "Chebyshev-Legendre Spectral Domain Decomposition Method for Two-Dimensional Vorticity Equations." Communications in Computational Physics 19, no. 5 (May 2016): 1221–41. http://dx.doi.org/10.4208/cicp.scpde14.18s.
Full textRazzaghi, M., J. Nazarzadeh, and K. Y. Nikravesh. "A collocation method for optimal control of linear systems with inequality constraints." Mathematical Problems in Engineering 3, no. 6 (1998): 503–15. http://dx.doi.org/10.1155/s1024123x97000653.
Full textBhrawy, A. H., M. A. Alghamdi, and D. Baleanu. "Numerical Solution of a Class of Functional-Differential Equations Using Jacobi Pseudospectral Method." Abstract and Applied Analysis 2013 (2013): 1–9. http://dx.doi.org/10.1155/2013/513808.
Full textLi-jun, Yi, Liang Zi-qiang, and Wang Zhong-qing. "Legendre-Gauss-Lobatto spectral collocation method for nonlinear delay differential equations." Mathematical Methods in the Applied Sciences 36, no. 18 (March 21, 2013): 2476–91. http://dx.doi.org/10.1002/mma.2769.
Full textWang, Lijun Yi and Zhongqing. "Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations." Numerical Mathematics: Theory, Methods and Applications 7, no. 2 (June 2014): 149–78. http://dx.doi.org/10.4208/nmtma.2014.1309nm.
Full textSheng, Chang-Tao, Zhong-Qing Wang, and Ben-Yu Guo. "A Multistep Legendre--Gauss Spectral Collocation Method for Nonlinear Volterra Integral Equations." SIAM Journal on Numerical Analysis 52, no. 4 (January 2014): 1953–80. http://dx.doi.org/10.1137/130915200.
Full textBhrawy, A. H., and M. A. Alghamdi. "A New Legendre Spectral Galerkin and Pseudo-Spectral Approximations for Fractional Initial Value Problems." Abstract and Applied Analysis 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/306746.
Full textAssari, Pouria. "The numerical solution of Fredholm-Hammerstein integral equations by combining the collocation method and radial basis functions." Filomat 33, no. 3 (2019): 667–82. http://dx.doi.org/10.2298/fil1903667a.
Full textBhrawy, A. H. "A New Legendre Collocation Method for Solving a Two-Dimensional Fractional Diffusion Equation." Abstract and Applied Analysis 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/636191.
Full textUrevc, Janez, and Miroslav Halilovič. "Enhancing Accuracy of Runge–Kutta-Type Collocation Methods for Solving ODEs." Mathematics 9, no. 2 (January 16, 2021): 174. http://dx.doi.org/10.3390/math9020174.
Full textZhao, Ting Jing. "Numerical Solution to Volterra-Type Integro-Differential Equations of the Second Kinds by Legendre Collocation Method." Applied Mechanics and Materials 687-691 (November 2014): 1522–27. http://dx.doi.org/10.4028/www.scientific.net/amm.687-691.1522.
Full textSteppeler, J., J. Li, F. Fang, J. Zhu, and P. A. Ullrich. "o3o3: A Variant of Spectral Elements with a Regular Collocation Grid." Monthly Weather Review 147, no. 6 (May 15, 2019): 2067–82. http://dx.doi.org/10.1175/mwr-d-18-0288.1.
Full textEzz-Eldien, SS, EH Doha, D. Baleanu, and AH Bhrawy. "A numerical approach based on Legendre orthonormal polynomials for numerical solutions of fractional optimal control problems." Journal of Vibration and Control 23, no. 1 (August 9, 2016): 16–30. http://dx.doi.org/10.1177/1077546315573916.
Full textGuo, Ben-yu, and Jian-ping Yan. "Legendre–Gauss collocation method for initial value problems of second order ordinary differential equations." Applied Numerical Mathematics 59, no. 6 (June 2009): 1386–408. http://dx.doi.org/10.1016/j.apnum.2008.08.007.
Full textShan, Yingying, Wenjie Liu, and Boying Wu. "Space–time Legendre–Gauss–Lobatto collocation method for two-dimensional generalized sine-Gordon equation." Applied Numerical Mathematics 122 (December 2017): 92–107. http://dx.doi.org/10.1016/j.apnum.2017.08.003.
Full textYi, Lijun, and Zhongqing Wang. "A Legendre–Gauss–Radau spectral collocation method for first order nonlinear delay differential equations." Calcolo 53, no. 4 (December 11, 2015): 691–721. http://dx.doi.org/10.1007/s10092-015-0169-5.
Full textMagagula, V. M., S. S. Motsa, and P. Sibanda. "A Multi-Domain Bivariate Pseudospectral Method for Evolution Equations." International Journal of Computational Methods 14, no. 04 (April 18, 2017): 1750041. http://dx.doi.org/10.1142/s0219876217500414.
Full textHedayati, Mehrnoosh, Hojjat Ahsani Tehrani, Alireza Fakharzadeh Jahromi, Mohammad Hadi Noori Skandari, and Dumitru Baleanu. "A novel high accurate numerical approach for the time-delay optimal control problems with delay on both state and control variables." AIMS Mathematics 7, no. 6 (2022): 9789–808. http://dx.doi.org/10.3934/math.2022545.
Full textRakhshan, Seyed Ali, and Sohrab Effati. "A generalized Legendre–Gauss collocation method for solving nonlinear fractional differential equations with time varying delays." Applied Numerical Mathematics 146 (December 2019): 342–60. http://dx.doi.org/10.1016/j.apnum.2019.07.016.
Full textWang, Zhong-qing, and Ben-yu Guo. "Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations." Journal of Scientific Computing 52, no. 1 (September 22, 2011): 226–55. http://dx.doi.org/10.1007/s10915-011-9538-7.
Full textKhaksari, Neda, Mahmoud Paripour, and Nasrin Karamikabir. "An Effective Local Radial Basis Function Method for Solving the Delay Volterra Integral Equation of Nonvanishing and Vanishing Types." Journal of Mathematics 2022 (June 22, 2022): 1–11. http://dx.doi.org/10.1155/2022/1527399.
Full textRakhshan, Seyed Ali, Sohrab Effati, and Ali Vahidian Kamyad. "Solving a class of fractional optimal control problems by the Hamilton–Jacobi–Bellman equation." Journal of Vibration and Control 24, no. 9 (September 14, 2016): 1741–56. http://dx.doi.org/10.1177/1077546316668467.
Full textZanger, Benjamin, Christian B. Mendl, Martin Schulz, and Martin Schreiber. "Quantum Algorithms for Solving Ordinary Differential Equations via Classical Integration Methods." Quantum 5 (July 13, 2021): 502. http://dx.doi.org/10.22331/q-2021-07-13-502.
Full textBhrawy, A. H., and D. Baleanu. "A Spectral Legendre–Gauss–Lobatto Collocation Method for a Space-Fractional Advection Diffusion Equations with Variable Coefficients." Reports on Mathematical Physics 72, no. 2 (October 2013): 219–33. http://dx.doi.org/10.1016/s0034-4877(14)60015-x.
Full textBaus, Franziska, Axel Klar, Nicole Marheineke, and Raimund Wegener. "Low-Mach-number and slenderness limit for elastic Cosserat rods and its numerical investigation." Asymptotic Analysis 120, no. 1-2 (October 6, 2020): 103–21. http://dx.doi.org/10.3233/asy-191581.
Full textNemati, S., P. M. Lima, and S. Sedaghat. "Legendre wavelet collocation method combined with the Gauss–Jacobi quadrature for solving fractional delay-type integro-differential equations." Applied Numerical Mathematics 149 (March 2020): 99–112. http://dx.doi.org/10.1016/j.apnum.2019.05.024.
Full textMaleki, Mohammad, Ishak Hashim, Majid Tavassoli Kajani, and Saeid Abbasbandy. "An Adaptive Pseudospectral Method for Fractional Order Boundary Value Problems." Abstract and Applied Analysis 2012 (2012): 1–19. http://dx.doi.org/10.1155/2012/381708.
Full textAli, Ishtiaq. "Long time behavior of higher-order delay differential equation with vanishing proportional delay and its convergence analysis using spectral method." AIMS Mathematics 7, no. 4 (2022): 4946–59. http://dx.doi.org/10.3934/math.2022275.
Full textMagagula, Vusi Mpendulo. "On the Multidomain Bivariate Spectral Local Linearisation Method for Solving Systems of Nonsimilar Boundary Layer Partial Differential Equations." International Journal of Mathematics and Mathematical Sciences 2019 (June 10, 2019): 1–18. http://dx.doi.org/10.1155/2019/6423294.
Full textZhao, Gang, Ran Zhang, Wei Wang, and Xiaoxiao Du. "Two-dimensional frictionless large deformation contact problems using isogeometric analysis and Nitsche’s method." Journal of Computational Design and Engineering 9, no. 1 (December 30, 2021): 82–99. http://dx.doi.org/10.1093/jcde/qwab070.
Full textChen, C., X. Li, X. Shen, and F. Xiao. "A high-order conservative collocation scheme and its application to global shallow-water equations." Geoscientific Model Development 8, no. 2 (February 10, 2015): 221–33. http://dx.doi.org/10.5194/gmd-8-221-2015.
Full textChen, C., X. Li, X. Shen, and F. Xiao. "A high-order conservative collocation scheme and its application to global shallow water equations." Geoscientific Model Development Discussions 7, no. 4 (July 10, 2014): 4251–90. http://dx.doi.org/10.5194/gmdd-7-4251-2014.
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