Comparison Differential Transform Method with Homotopy Perturbation Method for Nonlinear Integral Equations

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Authors
Malihe Bagheri
 Department of mathematic,Golestan Institute of Higher Education,Gorgan,Iran.
Mahnaz Bagheri
 Departmen of mathematic, Islamic Azad University, behshahr branch, Iran.
Ebrahim Miralikatouli
 Department of mathematic,Golestan Institute of Higher Education,Gorgan,Iran.
Abstract
In this study, an application of differential transform method (DTM) is applied to solve the second kind of nonlinear integral equations such that Volterra and Fredholm integral equations. If the equation considered has a solution in terms of the series expansion of known function, this powerful method catches the exact solution. Comparison is made between the homotopy perturbation and differential transform method. The results reveal that the differential transform method is very effective and simple.
Keywords
 differential transform method
 Integral equation
 Volterra and Fredholm integral quations
MSC
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