On the Convergence of the Homotopy Analysis Method for Solving Fredholm Integral Equations

Behzad GHANBARI

Authors

Behzad GHANBARI Department of Basic Sciences, Kermanshah University of Technology, Kermanshah

Keywords:

Homotopy analysis method, study of convergence, Fredholm integral equations

Abstract

The aim of this paper is to study the convergence of the Homotopy analysis method (HAM) for solving Fredholm integral equations. A sufficient condition for convergence of the method is illustrated. The validity of the presented condition for convergence of the HAM is studied for two examples. The comparison of the obtained results by the method with an exact solution shows that the method is reliable and capable of providing analytic treatment for solving such equations.

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