Communications on Advanced Computational Science with Applications
Volume 2016, No. 1 (2016), Pages 24-31
Article ID cacsa-00046, 8 Pages
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.
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.
A. Golbabai, M. Javidi, Application of Hes Homotopy Perturbation Method for nth-Order Integro-Differ-ential Equations, Applied Mathematics and Computation, 190 (2) (2007) 1409-1416.
X. F. Shang, D. F. Han, Application of the Variational Iteration Method for Solving nth-Order Integro-Differential Equations, Journal of Computational and Applied Mathematics, 234 (5) (2010) 1442-1447.
A. D. Polyanin, A. V. Manzhirov, Handbook of Integral Equations, CRC Press, New York, (1998).
A. J. Jerri, Introduction to Integral Equations with Applications, Wiley, New York, (1999).