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Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations

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Pages 2162-2173 | Received 03 Dec 2016, Accepted 22 May 2017, Published online: 24 Oct 2017

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Mamta Kapoor & Varun Joshi. (2023) Numerical solution of coupled 1D Burgers' equation by Non-Uniform Algebraic-Hyperbolic B-spline Differential Quadrature Method. International Journal for Computational Methods in Engineering Science and Mechanics 24:1, pages 18-39.
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Mamta Kapoor & Varun Joshi. (2022) Numerical solution of coupled 1D Burgers’ equation by employing Barycentric Lagrange interpolation basis function based differential quadrature method. International Journal for Computational Methods in Engineering Science and Mechanics 23:3, pages 263-283.
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Mamta Kapoor & Varun Joshi. (2021) A numerical regime for 1-D Burgers’ equation using UAT tension B-spline differential quadrature method. International Journal for Computational Methods in Engineering Science and Mechanics 22:3, pages 181-192.
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Huan Liu, Aijie Cheng, Hongjie Yan, Zhengguang Liu & Hong Wang. (2019) A fast compact finite difference method for quasilinear time fractional parabolic equation without singular kernel. International Journal of Computer Mathematics 96:7, pages 1444-1460.
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Chanwoo Jeong, Philsu Kim & Min-Gi Lee. (2023) Existence and nonexistence of traveling waves of coupled Burgers’ equations. Communications in Nonlinear Science and Numerical Simulation 125, pages 107385.
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Mamta Kapoor & Varun Joshi. (2023) A comparative study of Sumudu HPM and Elzaki HPM for coupled Burgers’ equation. Heliyon 9:5, pages e15726.
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Muaz Seydaoğlu. (2022) An algorithm for the Burgers’ equation using barycentric collocation method with a high-order exponential Lie-group scheme. Mathematical Sciences.
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Mamta Kapoor & Varun Joshi. (2021) A new technique for numerical solution of 1D and 2D non-linear coupled Burgers’ equations by using cubic Uniform Algebraic Trigonometric (UAT) tension B-spline based differential quadrature method. Ain Shams Engineering Journal 12:4, pages 3947-3965.
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莉莉 武. (2020) Barycentric Interpolation Collocation Method for One-Dimensional Sobolev Equation. Pure Mathematics 10:10, pages 938-943.
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Hongchun Wu, Yulan Wang, Wei Zhang & Tao Wen. (2019) The barycentric interpolation collocation method for a class of nonlinear vibration systems. Journal of Low Frequency Noise, Vibration and Active Control 38:3-4, pages 1495-1504.
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Du Mingjing & Yulan Wang. (2019) Some Novel Complex Dynamic Behaviors of a Class of Four-Dimensional Chaotic or Hyperchaotic Systems Based on a Meshless Collocation Method. Complexity 2019, pages 1-15.
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Mingjing Du, Junmei Li, Yulan Wang & Wei Zhang. (2019) Numerical Simulation of a Class of Three-Dimensional Kolmogorov Model with Chaotic Dynamic Behavior by Using Barycentric Interpolation Collocation Method. Complexity 2019, pages 1-14.
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Jun-Mei Li, Yu-Lan Wang & Wei Zhang. (2019) Numerical Simulation of the Lorenz-Type Chaotic System Using Barycentric Lagrange Interpolation Collocation Method. Advances in Mathematical Physics 2019, pages 1-9.
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Xiaofei Zhou, Junmei Li, Yulan Wang & Wei Zhang. (2019) Numerical Simulation of a Class of Hyperchaotic System Using Barycentric Lagrange Interpolation Collocation Method. Complexity 2019, pages 1-13.
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辰辉 赵. (2019) Numerical Solution of a Class of Singularly Perturbed Parabolic Reaction-Diffusion Problem. Advances in Applied Mathematics 08:06, pages 1181-1191.
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