High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation-Reference-Cited by-同舟云学术

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

Published:2018-12-09 Issue:10 Volume:96 Page:2039-2078
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Elgindy Kareem T.¹²^ORCID,Karasözen Bülent³^ORCID

Affiliation:

1. Mathematics & Statistics Department, The College of Sciences, King Fahd University of Petroleum & Minerals, Dhahran, Kingdom of Saudi Arabia

2. Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt

3. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, Ankara, Turkey

Funder

King Fahd University of Petroleum & Minerals (KFUPM)

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2018.1554860

Reference75 articles.

1. Adomian Decomposition Approach to the Solution of the Burger’s Equation

2. A Quasilinear and Chebyshev Collocation Method for Solving Nonlinear 1-D Burgers-Type Equations

3. A computational approach using modified trigonometric cubic B-spline for numerical solution of Burgers’ equation in one and two dimensions

4. Numerical solution of Burgers’ equation with modified cubic B-spline differential quadrature method

Cited by 5 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. 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;2024-04

2. A stabilized FEM formulation with discontinuity-capturing for solving Burgers’-type equations at high Reynolds numbers;Applied Mathematics and Computation;2023-04

3. A direct integral pseudospectral method for solving a class of infinite-horizon optimal control problems using Gegenbauer polynomials and certain parametric maps;AIMS Mathematics;2023

4. High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method;International Journal of Computer Mathematics;2021-05-03

5. Distributed optimal control of viscous Burgers' equation via a high‐order, linearization, integral, nodal discontinuous Gegenbauer‐Galerkin method;Optimal Control Applications and Methods;2019-10-23

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