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

Sh. Sadigh Behzadi

doi:10.11948/2011022

2011 Volume 1 Issue 3

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Sh. Sadigh Behzadi. NUMERICAL SOLUTION OF FUZZY CAMASSA-HOLM EQUATION BY USING HOMOTOPY ANALYSIS METHODS[J]. Journal of Applied Analysis & Computation, 2011, 1(3): 315-323. doi: 10.11948/2011022

Citation:

Sh. Sadigh Behzadi. NUMERICAL SOLUTION OF FUZZY CAMASSA-HOLM EQUATION BY USING HOMOTOPY ANALYSIS METHODS[J]. Journal of Applied Analysis & Computation, 2011, 1(3): 315-323. doi: 10.11948/2011022

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

Sh. Sadigh Behzadi

Young Researchers Club, Islamic Azad University, Central Tehran Branch, P. O. Box:15655/461, Tehran, Iran

Abstract

Abstract

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.
- Camassa-Holm equation /
- Homotopy analysis method /
- Fuzzy number
MSC: 35L05;65H20;65M12

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References

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