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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 7, Page 1107
DOI: https://doi.org/10.7868/S0044466913070120 (Mi zvmmf9823) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Efficient computational algorithms for solving one class of fractional boundary value problems

Safar Irandoust-pakchin, Hossein Kheiri, Somayeh Abdi-mazraeh

Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Full-text PDF (95 kB) Citations (10)
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DOI: https://doi.org/10.7868/S0044466913070120
Abstract: In this paper, we introduce a modification of He’s variational iteration, homotopy analysis and optimal homotopy analysis methods for solving fractional boundary value problems. It is illustrated that the proposed methods are powerful fast numerical tools to find accurate solutions. It is illustrated that efficiency of these methods is based on proper choosing of initial guess.
Key words: fractional boundary value problems, homotopy analysis method, He’s variational iteration method, optimal homotopy analysis method.
Received: 27.02.2012
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 7, Pages 920–932
DOI: https://doi.org/10.1134/S0965542513070117
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Citation: Safar Irandoust-pakchin, Hossein Kheiri, Somayeh Abdi-mazraeh, “Efficient computational algorithms for solving one class of fractional boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 53:7 (2013), 1107; Comput. Math. Math. Phys., 53:7 (2013), 920–932
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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