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

作者：Behzadi Sh S^*; Abba**andy S; Allahviranloo T; Yildirim A

来源：Journal of Applied Analysis and Computation, 2012, 2(2): 127-136.

DOI：10.11948/2012009

• Volterra and Fredholm integral equations
• integro-differential equations
• Homotopy analysis method (HAM)

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.

• 出版日期2012