APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Sh. S. Behzadi; S. Abbasbangy; T. Allahviranloo; A. Yildirim

doi:10.11948/2012009

2012 Volume 2 Issue 2

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Sh. S. Behzadi, S. Abbasbangy, T. Allahviranloo, A. Yildirim. APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2012, 2(2): 127-136. doi: 10.11948/2012009

Citation:

Sh. S. Behzadi, S. Abbasbangy, T. Allahviranloo, A. Yildirim. APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS[J]. Journal of Applied Analysis & Computation, 2012, 2(2): 127-136. doi: 10.11948/2012009

APPLICATION OF HOMOTOPY ANALYSIS METHOD FOR SOLVING A CLASS OF NONLINEAR VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;
2 Department of Mathematics, Ege University, 35100 Bornova, I zmir, Turkey;
3 University of South Florida, Department of Mathematics and Statistics, Tampa, FL 33620-5700, USA

Abstract

Abstract

In this paper, the nonlinear Volterra-Fredholm integro-differential equations are solved by using the homotopy analysis method (HAM). The approximation solution of this equation is calculated in the form of a series which its components are computed easily. 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.
- Volterra and Fredholm integral equations /
- integro-differential equations /
- Homotopy analysis method(HAM)
MSC: 35A16;34B13;34C15

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References

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