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Waves in Random and Complex Media Volume 21, 2011 - Issue 4
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Original Articles

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

H. Jafari Department of Mathematics, University of Mazandaran, Babolsar, IranCorrespondence[email protected] [email protected]
,
H. Tajadodi Department of Mathematics, University of Mazandaran, Babolsar, Iran
&
Anjan Biswas Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
Pages 657-667 | Received 26 Jul 2011, Accepted 27 Aug 2011, Published online: 03 Oct 2011
 
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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.

Acknowledgement

H. Jafari gratefully acknowledges support from the research project of the National Elite Foundation, Tehran, Iran.

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