Communications on Advanced Computational Science with Applications

Volume 2016, No. 1 (2016), Pages 24-31

Article ID cacsa-00046, 8 Pages

doi: 10.5899/2016/cacsa-00046


Research Article


Solving nth-Order Integro-Differential Equations Using the Combined Laplace Transform-Successive Approximations Method


Ali Akbar Ostovar1, Mahmood Hasani2 *


1Deparment of Mathematics, Islamic Azad University, Central Tehran Branch, P.O.Box 13185.768, Tehran, Iran

2Department of Mathematics, Islamic Azad University, Hamadan Branch, Hamadan, Iran.


* Corresponding author. Email address: m_hasani1300@ yahoo.com


Received: 30 June 2015; Accepted: 01 October 2015


Copyright © 2016 Ali Akbar Ostovar and Mahmood Hasani. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this paper, the Combined Laplace Transform-Successive Approximations Method is used to solve nth-order integro-differential equations. The results show that the method is very simple and effective. Comparison with exact solution shows that the method is very effective and convenient for solving integral equations.


Keywords: Integro-Differential Equations; Laplace Transform Method; Successive Approximations Method.


References

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