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Sohag Journal of Mathematics
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 9 > No. 2

 
   

Solution of Generalized Abel’s Integral Equations by Homotopy Perturbation Method with Adaptation in Laplace Transformation

PP: 29-35
doi:10.18576/sjm/090202
Author(s)
Srinivasarao Thota,
Abstract
In this paper we present a new and simple algorithm to solve the Abel’s second kind integral equation using the concept of homotopy perturbation method with a modern adaptation in Laplace transformation. By this method, analytical solution and good approximate solutions can be obtained with only a few iterations. Several numerical examples are presented to illustrate the method, and the results show the proposed method is very effective.

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