Approximate Solutions for Systems of Volterra Integro-differential Equations Using Laplace –Adomian Method

  • Firas S. Ahmed Computer Unit, College of Agricultural Engineering Sciences, Baghdad University, Baghdad, Iraq
Keywords: Volterra integro-differential equations, Laplace transform, Adomian decomposition method

Abstract

Some modified techniques are used in this article in order to have approximate solutions for systems of Volterra integro-differential equations. The suggested techniques are the so called Laplace-Adomian decomposition method and Laplace iterative method. The proposed methods are robust and accurate as can be seen from the given illustrative examples and from the comparison that are made with the exact solution.

Published
2020-10-28
How to Cite
Ahmed, F. S. (2020). Approximate Solutions for Systems of Volterra Integro-differential Equations Using Laplace –Adomian Method. Iraqi Journal of Science, 61(10), 2655-2662. https://doi.org/10.24996/ijs.2020.61.10.22
Section
Mathematics