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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
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
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
Linking options:
https://www.mathnet.ru/eng/sjvm759 https://www.mathnet.ru/eng/sjvm/v23/i4/p441
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Abstract page: | 138 | Full-text PDF : | 21 | References: | 29 | First page: | 12 |
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