Modified Adomian Decomposition Method for the Solution of Integro-Differential Equations
R. O. Ijaiya
Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
O. A. Taiwo *
Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
K. A. Bello
Department of Mathematics, University of Ilorin, Ilorin, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
This paper is concerned with modification of the Adomian Decomposition Method for solving linear and non-linear Volterra and Volterra-Fredholm Integro-Differential equations. The Modified form of ADM was carried out by replacing the Adomian polynomials constructed in the conventional Adomian Decomposition Method with the constructed canonical polynomials. The modified Adomian Decomposition Method was applied to solve some existing example. The results obtained using the newly modified ADM proved superior when compared with the conventional ADM.
Keywords: Integro-differential equation, approximate solution, differential equation, linear differential equation