NUMERICAL SOLUTION OF FUZZY CAMASSA-HOLM EQUATION BY USING HOMOTOPY ANALYSIS METHODS | Zendy

Sh. Sadigh Behzadi | Zendy

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NUMERICAL SOLUTION OF FUZZY CAMASSA-HOLM EQUATION BY USING HOMOTOPY ANALYSIS METHODS

Author(s) -

Sh. Sadigh Behzadi

Publication year - 2011

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2011022

Subject(s) - homotopy analysis method , mathematics , uniqueness , homotopy perturbation method , camassa–holm equation , convergence (economics) , mathematical analysis , homotopy , pure mathematics , integrable system , economics , economic growth

In this paper, a fuzzy Camassa-Holm equation is solved by using the homotopy analysis method (HAM). The approximation solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. The existence and uniqueness of the solution and the convergence of the proposed method are proved.

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