Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme

Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme

In this paper, an implicit exponential finite-difference scheme (Expo FDM) has been proposed for solving two dimensional nonlinear coupled viscous Burgers’ equations (VBEs) with appropriate initial and boundary conditions. The accuracy of the method has been illustrated by taking two numerical examp...

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Main Authors: Vineet K. Srivastava, Sarita Singh, Mukesh K. Awasthi
Format: Article
Language:English
Published: AIP Publishing LLC 2013-08-01
Series:AIP Advances
Online Access:http://link.aip.org/link/doi/10.1063/1.4820355
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spelling doaj-a95d344450f9427fa703e9824be5e3502020-11-25T00:09:33ZengAIP Publishing LLCAIP Advances2158-32262013-08-013808213108213110.1063/1.4820355Numerical solutions of coupled Burgers’ equations by an implicit finite-difference schemeVineet K. SrivastavaSarita SinghMukesh K. AwasthiIn this paper, an implicit exponential finite-difference scheme (Expo FDM) has been proposed for solving two dimensional nonlinear coupled viscous Burgers’ equations (VBEs) with appropriate initial and boundary conditions. The accuracy of the method has been illustrated by taking two numerical examples. Results are compared with exact solution and those already available in the literature by finding the L1, L2, L∞ and ER errors. Excellent numerical results indicate that the proposed scheme is efficient, reliable and robust technique for the numerical solutions of Burgers’ equation.http://link.aip.org/link/doi/10.1063/1.4820355
collection DOAJ
language English
format Article
sources DOAJ
author Vineet K. Srivastava
Sarita Singh
Mukesh K. Awasthi
spellingShingle Vineet K. Srivastava
Sarita Singh
Mukesh K. Awasthi
Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
AIP Advances
author_facet Vineet K. Srivastava
Sarita Singh
Mukesh K. Awasthi
author_sort Vineet K. Srivastava
title Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
title_short Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
title_full Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
title_fullStr Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
title_full_unstemmed Numerical solutions of coupled Burgers’ equations by an implicit finite-difference scheme
title_sort numerical solutions of coupled burgers’ equations by an implicit finite-difference scheme
publisher AIP Publishing LLC
series AIP Advances
issn 2158-3226
publishDate 2013-08-01
description In this paper, an implicit exponential finite-difference scheme (Expo FDM) has been proposed for solving two dimensional nonlinear coupled viscous Burgers’ equations (VBEs) with appropriate initial and boundary conditions. The accuracy of the method has been illustrated by taking two numerical examples. Results are compared with exact solution and those already available in the literature by finding the L1, L2, L∞ and ER errors. Excellent numerical results indicate that the proposed scheme is efficient, reliable and robust technique for the numerical solutions of Burgers’ equation.
url http://link.aip.org/link/doi/10.1063/1.4820355
work_keys_str_mv AT vineetksrivastava numericalsolutionsofcoupledburgersequationsbyanimplicitfinitedifferencescheme
AT saritasingh numericalsolutionsofcoupledburgersequationsbyanimplicitfinitedifferencescheme
AT mukeshkawasthi numericalsolutionsofcoupledburgersequationsbyanimplicitfinitedifferencescheme
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