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International Journal of Computer Mathematics Volume 86, 2009 - Issue 8
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Section B

On the numerical solution of the Burgers's equation

D. Khojasteh Salkuyeh Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, IranCorrespondence[email protected]
&
F. Saadati Sharafeh Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran
Pages 1334-1344 | Received 12 Feb 2007, Accepted 13 Nov 2007, Published online: 17 Jun 2009

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Jorge Eduardo Macías-Díaz & Bilge İnan. (2019) Numerical efficiency of some exponential methods for an advection–diffusion equation. International Journal of Computer Mathematics 96:5, pages 1005-1029.
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Articles from other publishers (9)

M. A. Shallal, A. H. Taqi, B. F. Jumaa, H. Rezazadeh & M. Inc. (2022) Numerical solutions to the 1-D Burgers’ equation by a cubic Hermite finite element method. Indian Journal of Physics 96:13, pages 3831-3836.
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Brajesh Kumar Singh & Mukesh Gupta. (2021) A new efficient fourth order collocation scheme for solving Burgers’ equation. Applied Mathematics and Computation 399, pages 126011.
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Gonca ÇELİKTEN. (2020) Burgers Denkleminin Sayısal Çözümleri için Logaritmik Sonlu Fark Yöntemleri. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi 13:3, pages 984-994.
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J.E. Macías-Díaz & J. Alba-Pérez. (2019) A structure-preserving Bhattacharya method for nonlinear parabolic equations with fractional diffusion and advection. Journal of Computational and Applied Mathematics 354, pages 623-640.
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Mehran Namjoo, Mehdi Zeinadini & Sadegh Zibaei. (2018) Nonstandard finite‐difference scheme to approximate the generalized Burgers‐Fisher equation. Mathematical Methods in the Applied Sciences 41:17, pages 8212-8228.
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R. K. Mohanty & J. Talwar. (2015) A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers’ equation. Numerical Analysis and Applications 8:4, pages 314-328.
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BILGE INAN & AHMET REFIK BAHADIR. (2013) Numerical solution of the one-dimensional Burgers’ equation: Implicit and fully implicit exponential finite difference methods. Pramana 81:4, pages 547-556.
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S. Dhawan, S. Kapoor, S. Kumar & S. Rawat. (2012) Contemporary review of techniques for the solution of nonlinear Burgers equation. Journal of Computational Science 3:5, pages 405-419.
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M. Kostoglou. (2011) The equimaterial approach for the numerical solution of the one dimensional transient diffusion equation with zero flux boundary conditions. Applied Mathematics and Computation 218:4, pages 1353-1359.
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