NUMERICAL SOLUTION OF LR FUZZY HUNTER-SAXETON EQUATION BY USING HOMOTOPY ANALYSIS METHOD

Sh. Sadigh Behzadi; A. Yildirim

doi:10.11948/2012001

2012 Volume 2 Issue 1

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Sh. Sadigh Behzadi, A. Yildirim. NUMERICAL SOLUTION OF LR FUZZY HUNTER-SAXETON EQUATION BY USING HOMOTOPY ANALYSIS METHOD[J]. Journal of Applied Analysis & Computation, 2012, 2(1): 1-10. doi: 10.11948/2012001

Citation:

Sh. Sadigh Behzadi, A. Yildirim. NUMERICAL SOLUTION OF LR FUZZY HUNTER-SAXETON EQUATION BY USING HOMOTOPY ANALYSIS METHOD[J]. Journal of Applied Analysis & Computation, 2012, 2(1): 1-10. doi: 10.11948/2012001

NUMERICAL SOLUTION OF LR FUZZY HUNTER-SAXETON EQUATION BY USING HOMOTOPY ANALYSIS METHOD

1 Department of Mathematics, Islamic Azad University, Central Tehran Branch, P. O. Box 13185. 768, Tehran, Iran;
2 Department of Mathematics, Ege University, 35100 Bornova, zmir, Turkey;
3 Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700. USA

Abstract

Abstract

In this paper, a LR fuzzy Hunter-Saxton 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. A numerical example is studied to demonstrate the accuracy of the presented method.
- Hunter-Saxton equation /
- homotopy analysis method /
- fuzzy number /
- L-R fuzzy number /
- generalized differentiability /
- fuzzy-valued function /
- h-difference
MSC: 35A15;34B15;34C15

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References

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