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

Sibirskii Zhurnal Vychislitel'noi Matematiki

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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)

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

M. Cherif^ab, D. Ziane^a, A. K. Alomari^c, K. Belghaba^a

^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)

$(1+n)$ -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)

$(1+n)$ -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)

$(1+n)$ -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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\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}

Linking options:

https://www.mathnet.ru/eng/sjvm759

https://www.mathnet.ru/eng/sjvm/v23/i4/p441

This publication is cited in the following 2 articles:

Nazek A. Obeidat, Daniel E. Bentil, “Convergence analysis of the fractional decomposition method with applications to time‐fractional biological population models”, Numerical Methods Partial, 39:1 (2023), 696
Brajesh Kumar Singh, Mukesh Gupta, “Trigonometric tension B-spline collocation approximations for time fractional Burgers' equation”, Journal of Ocean Engineering and Science, 2022

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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References:	35
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