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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 4, Pages 389–405
DOI: https://doi.org/10.15372/SJNM20150405 (Mi sjvm591) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation

R. K. Mohantya, J. Talwarb

a Department of Applied Mathematics, South Asian University, Akbar Bhawan, Chanakyapuri, New Delhi, 110021, India
b Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110007, India
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DOI: https://doi.org/10.15372/SJNM20150405
Abstract: In this article, we discuss a new single sweep compact alternating group explicit method for the solution of time dependent viscous Burgers' equation both in Cartesian and polar coordinates. An error analysis for the new iterative method is discussed in detail. We have compared the results of the proposed iterative method with the results of a corresponding double sweep alternating group explicit (AGE) iterative method to demonstrate computationally the efficiency of the proposed method.
Key words: non-linear parabolic equation, viscous flow, Compact AGE Method, Burgers' equation, Reynolds number.
Funding agency Grant number
09/045(0836)2009-EMR-I
Received: 08.08.2014
Revised: 08.01.2015
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 4, Pages 314–328
DOI: https://doi.org/10.1134/S1995423915040059
Bibliographic databases:
Document Type: Article
MSC: 65L10, 65L12
Language: Russian
Citation: R. K. Mohanty, J. Talwar, “A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation”, Sib. Zh. Vychisl. Mat., 18:4 (2015), 389–405; Num. Anal. Appl., 8:4 (2015), 314–328
Citation in format AMSBIB
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\by R.~K.~Mohanty, J.~Talwar
\paper A new compact alternating group explicit iteration method for the solution of nonlinear time-dependent viscous Burgers' equation
\jour Sib. Zh. Vychisl. Mat.
\yr 2015
\vol 18
\issue 4
\pages 389--405
\mathnet{http://mi.mathnet.ru/sjvm591}
\crossref{https://doi.org/10.15372/SJNM20150405}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3492922}
\elib{https://elibrary.ru/item.asp?id=24817586}
\transl
\jour Num. Anal. Appl.
\yr 2015
\vol 8
\issue 4
\pages 314--328
\crossref{https://doi.org/10.1134/S1995423915040059}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84948419207}
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    • This publication is cited in the following 1 articles:
    1. Somrath Kanoksirirath, “An Integral-like Numerical Approach for Solving Burgers' Equation”, PAMJ, 13:2 (2024), 17  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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