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International Journal of Computer Mathematics Volume 88, 2011 - Issue 12
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Section B

Efficient and accurate finite difference schemes for solving one-dimensional Burgers’ equation

Wenyuan Liao Department of Mathematics and Statistics, University of Calgary, Calgary, Canada, T2N 1N4Correspondence[email protected]
&
Jianping Zhu Department of Mathematics, University of Texas at Arlington, Arlington, TX, 76016, USA
Pages 2575-2590 | Received 27 Jun 2010, Accepted 02 Dec 2010, Published online: 25 May 2011

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Read on this site (3)

R. C. Mittal & Sapna Pandit. (2018) Sensitivity analysis of shock wave Burgers’ equation via a novel algorithm based on scale-3 Haar wavelets. International Journal of Computer Mathematics 95:3, pages 601-625.
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Chih-Ching Tsai, Yin-Tzer Shih, Yu-Tuan Lin & Hui-Ching Wang. (2017) Tailored finite point method for solving one-dimensional Burgers' equation. International Journal of Computer Mathematics 94:4, pages 800-812.
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Hong Sun & Zhi-zhong Sun. (2015) On two linearized difference schemes for Burgers’ equation. International Journal of Computer Mathematics 92:6, pages 1160-1179.
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Articles from other publishers (11)

A.K. Mittal. (2024) A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers') equations. Applied Numerical Mathematics 195, pages 39-53.
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Wenjuan Li, Fuzheng Gao & Jintao Cui. (2024) A weak Galerkin finite element method for nonlinear convection-diffusion equation. Applied Mathematics and Computation 461, pages 128315.
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A. K. Mittal, L. K. Balyan & K. K. Sharma. (2023) A spectrally accurate time ‐ space pseudospectral method for viscous Burgers' equation. Numerical Methods for Partial Differential Equations 39:4, pages 3356-3374.
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Soyoon Bak, Yonghyeon Jeon & Sangbeom Park. (2022) A Novel Decomposition as a Fast Finite Difference Method for Second Derivatives. Results in Mathematics 78:1.
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Xu Zhang, Yanqun Jiang, Yinggang Hu & Xun Chen. (2022) High-order implicit weighted compact nonlinear scheme for nonlinear coupled viscous Burgers’ equations. Mathematics and Computers in Simulation 196, pages 151-165.
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Yanqun Jiang, Xun Chen, Rong Fan & Xu Zhang. (2021) High order semi-implicit weighted compact nonlinear scheme for viscous Burgers’ equations. Mathematics and Computers in Simulation 190, pages 607-621.
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Ying Li & Yong Wang. (2021) Numerical Solution and Stability Analysis for a Class of Nonlinear Differential Equations. International Journal of Theoretical Physics 60:7, pages 2573-2582.
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Xiangfan Piao & Philsu Kim. (2021) Comment on: “The modified extended tanh-function method for solving Burgers-type equations” [Physica A 361 (2006) 394–404]. Physica A: Statistical Mechanics and its Applications 569, pages 125771.
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Kejia Pan, Xiaoxin Wu, Xiaoqiang Yue & Runxin Ni. (2020) A spatial sixth-order CCD-TVD method for solving multidimensional coupled Burgers’ equation. Computational and Applied Mathematics 39:2.
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Xiao-Tong Qi, Bao-Chang Shi & Zhen-Hua Chai. (2018) Cole-Hopf Transformation Based Lattice Boltzmann Model for One-dimensional Burgers’ Equation. Communications in Theoretical Physics 69:3, pages 329.
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H.P. Bhatt & A.Q.M. Khaliq. (2016) Fourth-order compact schemes for the numerical simulation of coupled Burgers’ equation. Computer Physics Communications 200, pages 117-138.
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