This article is cited in 12 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

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.

UDC: 519.63

Received: 27.02.2012

Language: English

DOI: 10.7868/S0044466913070120

 English version: Computational Mathematics and Mathematical Physics, 2013, 53:7, 920–932

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