2011•Waves in Random and Complex MediaRequires access

Homotopy analysis method for solving a couple of evolution equations and comparison with Adomian's decomposition method

Hossein Jafari, Haleh Tajadodi, Anjan Biswas

Abstract

In this paper, the homotopy analysis method is proposed to solve an evolution equation. Comparisons are made between the Adomian decomposition method (ADM), the exact solution and the proposed method. The results reveal that the proposed method is very effective and simple.

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Available abstract

Key concepts: Adomian decomposition method, Homotopy analysis method, Mathematics, Decomposition method (queueing theory), Simple (philosophy), Decomposition, Homotopy, Applied mathematics