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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2020, Volume 23, Number 4, Pages 441–455
DOI: https://doi.org/10.15372/SJNM20200407 (Mi sjvm759) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Solving the $(1+n)$-dimensional fractional Burgers equation by natural decomposition method

M. Cherifab, D. Zianea, A. K. Alomaric, K. Belghabaa

a Laboratory of mathematics and its applications (LAMAP) University of Oran1 Ahmed Ben Bella, Oran, 31000, Algeria
b Oran's Hight School of Electrical and Energetics Engineering (ESGEE), Oran, 31000, Algeria
c 3Department of Mathematics, Faculty of Science Yarmouk University, 211-63, Irbid, Jordan
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DOI: https://doi.org/10.15372/SJNM20200407
Abstract: In this paper, we extend the natural transform combined with the Adomian decomposition method for solving nonlinear partial differential equations with time-fractional derivatives. We apply the proposed method to obtain approximate analytical solutions of the $(1+n)$-dimensional fractional Burgers equation. Some illustrative examples are given, which reveal that this is a very efficient and accurate analytical method for solving nonlinear fractional partial differential equations.
Key words: Adomian decomposition method, natural transform, $(1+n)$-dimensional Burgers equation, Caputo fractional derivative.
Received: 21.01.2019
Revised: 07.06.2019
Accepted: 16.07.2019
English version:
Numerical Analysis and Applications, 2020, Volume 13, Issue 4, Pages 368–381
DOI: https://doi.org/10.1134/S1995423920040072
Bibliographic databases:
Document Type: Article
MSC: 44A10, 26A33, 44A20, 34K37, 35A08
Language: Russian
Citation: M. Cherif, D. Ziane, A. K. Alomari, K. Belghaba, “Solving the $(1+n)$-dimensional fractional Burgers equation by natural decomposition method”, Sib. Zh. Vychisl. Mat., 23:4 (2020), 441–455; Num. Anal. Appl., 13:4 (2020), 368–381
Citation in format AMSBIB
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\by M.~Cherif, D.~Ziane, A.~K.~Alomari, K.~Belghaba
\paper Solving the $(1+n)$-dimensional fractional Burgers equation by natural decomposition method
\jour Sib. Zh. Vychisl. Mat.
\yr 2020
\vol 23
\issue 4
\pages 441--455
\mathnet{http://mi.mathnet.ru/sjvm759}
\crossref{https://doi.org/10.15372/SJNM20200407}
\transl
\jour Num. Anal. Appl.
\yr 2020
\vol 13
\issue 4
\pages 368--381
\crossref{https://doi.org/10.1134/S1995423920040072}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000600885900007}
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    • This publication is cited in the following 2 articles:
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