A Comparison between Solving of Two-Dimensional Nonlinear Fredholm Integral Equations of the Second Kind by the Optimal Homotopy Asymptotic Method and Homotopy Perturbation Method

Mohammad ALMOUSA; Ahmad ISMAIL

Authors

Mohammad ALMOUSA School of Mathematical Sciences, Universiti Sains Malaysia, Penang
Ahmad ISMAIL School of Mathematical Sciences, Universiti Sains Malaysia, Penang

Keywords:

Optimal homotopy asymptotic method, homotopy perturbation method, 2-dimensional nonlinear Fredholm integral equations of the second kind

Abstract

In this article, we present the optimal homotopy asymptotic method (OHAM) and homotopy perturbation method (HPM) for solving 2-dimensional nonlinear Fredholm integral equations of the second kind. A comparison is made between these methods to solve 2-dimensional nonlinear Fredholm integral equations of the second kind. The results show that the presented methods are very powerful and simple techniques in solving 2-dimensional nonlinear Fredholm integral equations of the second kind.

doi:10.14456/WJST.2015.35

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Author Biographies

Mohammad ALMOUSA, School of Mathematical Sciences, Universiti Sains Malaysia, Penang

phd mathematics in USM

Ahmad ISMAIL, School of Mathematical Sciences, Universiti Sains Malaysia, Penang

Prof in Mathematical Sciences inUSM (dean)

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