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

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

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 7

Résumé

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.

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