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

Abdelhalim Ziqan; Sawsan Armiti; Iyad Suwan

doi:10.14419/ijamr.v5i2.5988

Authors

Abdelhalim Ziqan The Arab American University
Sawsan Armiti The Arab American University
Iyad Suwan The Arab American University

DOI:

https://doi.org/10.14419/ijamr.v5i2.5988

Published:

2016-04-19

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.

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