TITLE:
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)
AUTHORS:
Maryam Al-Mazmumy, Safa O. Almuhalbedi
KEYWORDS:
Adomian Decomposition Method, Nonlinear Volterraintegro-Differential Equations, Nonlinear Fredholmintegro-Differential Equations, Two-Step
JOURNAL NAME:
International Journal of Modern Nonlinear Theory and Application,
Vol.5 No.4,
December
16,
2016
ABSTRACT: The Adomian decomposition method (ADM) can be used to solve a wide range of problems and usually gets the solution in a series form. In this paper, we propose two-step Adomian Decomposition Method (TSAM) for nonlinear integro-differential equations that will facilitate the calculations. In this modification, compared to the standard Adomian decomposition method, the size of calculations was reduced. This modification also avoids computing Adomian polynomials. Numerical results are given to show the efficiency and performance of this method.