Author(s)

Maryam Al-Mazmumy^1*, Safa O. Almuhalbedi²

¹Department of Mathematics, Faculty of Science-Al Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia.
²Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia.

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.

Adomian Decomposition Method, Nonlinear Volterraintegro-Differential Equations, Nonlinear Fredholmintegro-Differential Equations, Two-Step

Al-Mazmumy, M. and Almuhalbedi, S. (2016) Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM). International Journal of Modern Nonlinear Theory and Application, 5, 248-255. doi: 10.4236/ijmnta.2016.54022.