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Solving three-dimensional Volterra integral equation by the reduced differential transform method

Authors: 
Abdelhalim M. Ziqan
Sawsan Armiti
Iyad Suwan
Journal Name: 
International Journal of Applied Mathematical Research
Volume: 
5
Issue: 
2
Pages From: 
106
To: 
103
Date: 
Friday, January 1, 2016
Keywords: 
Volterra integral equation, Differential transform , Reduce differential transform
Abstract: 
In this article, the results of two-dimensional reduced differential transform method is extended to three-dimensional case for solving three dimensional Volterra integral equation. Using the described method, the exact solution can be obtained after a few number of iterations. Moreover, examples on both linear and nonlinear Volterra integral equation are carried out to illustrate the efficiency and the accuracy of the presented method.