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International Journal of Computer Mathematics Volume 96, 2019 - Issue 10
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Original Articles

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation

Kareem T. ElgindyMathematics & Statistics Department, The College of Sciences, King Fahd University of Petroleum & Minerals, Dhahran, Kingdom of Saudi Arabia;Mathematics Department, Faculty of Science, Assiut University, Assiut, EgyptCorrespondence[email protected]
ORCID Iconhttp://orcid.org/0000-0001-7369-4988View further author information
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Bülent KarasözenDepartment of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Ankara, TurkeyORCID Iconhttp://orcid.org/0000-0003-1037-5431View further author information
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Pages 2039-2078 | Received 19 Jun 2018, Accepted 25 Oct 2018, Published online: 09 Dec 2018

Citations (6)

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Sayed A. Dahy & Kareem T. Elgindy. (2022) High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method. International Journal of Computer Mathematics 99:3, pages 446-464.
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Articles from other publishers (5)

Kareem T. Elgindy. (2023) Fourier-Gegenbauer pseudospectral method for solving time-dependent one-dimensional fractional partial differential equations with variable coefficients and periodic solutions. Mathematics and Computers in Simulation.
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Süleyman Cengizci & Ömür Uğur. (2023) A stabilized FEM formulation with discontinuity-capturing for solving Burgers’-type equations at high Reynolds numbers. Applied Mathematics and Computation 442, pages 127705.
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Kareem T. Elgindy & Hareth M. Refat. (2023) A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps. AIMS Mathematics 8:2, pages 3561-3605.
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Kareem T. Elgindy & Bülent Karasözen. (2019) Distributed optimal control of viscous Burgers' equation via a high‐order, linearization, integral, nodal discontinuous Gegenbauer‐Galerkin method. Optimal Control Applications and Methods 41:1, pages 253-277.
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Kareem T. Elgindy. (2019) A high-order embedded domain method combining a Predictor–Corrector-Fourier-Continuation-Gram method with an integral Fourier pseudospectral collocation method for solving linear partial differential equations in complex domains. Journal of Computational and Applied Mathematics 361, pages 372-395.
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