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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 1, Page 124
DOI: https://doi.org/10.7868/S0044466916010105 (Mi zvmmf10328) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods

S. Irandoust-pakchin, M. Javidi, H. Kheiri

Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Full-text PDF (33 kB) Citations (9)
DOI: https://doi.org/10.7868/S0044466916010105
Abstract: In this paper, we first introduce a new homotopy perturbation method for solving a fractional order nonlinear cable equation. By applying proposed method the nonlinear equation it is changed to linear equation for per iteration of homotopy perturbation method. Then, we solve obtained problems with separation method. In examples, we illustrate that the exact solution is obtained in one iteration by convenience separating of source term in given equation.
Key words: cable equation, Caputo fractional derivative, homotopy perturbation method, nonhnear, Riemann–Liouville, separation method.
Received: 28.01.2014
Revised: 05.06.2014
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 1, Pages 116–131
DOI: https://doi.org/10.1134/S0965542516010103
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: English
Citation: S. Irandoust-pakchin, M. Javidi, H. Kheiri, “Analytical solutions for the fractional nonlinear cable equation using a modified'homotopy perturbation and separation of variables methods”, Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016), 124; Comput. Math. Math. Phys., 56:1 (2016), 116–131
Citation in format AMSBIB
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\vol 56
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  • https://www.mathnet.ru/eng/zvmmf/v56/i1/p124
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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