Abstract—In this paper, the Restarted Adomian Method has been implemented to analyze the System of Integro-Differential Equations in both Volterra and Fredholm types. This modification of Adomian decomposition method is much better than the standard version of the Adomian decomposition method, where more accurate approximations for the solutions of the studied examples have been achieved.

Index Terms—System of volterra integro-differential equation, system of fredholm integro-differential equation, adomian decomposition method, restarted adomian method.

H. O. Bakodah and M. Al-Mazmumy are with Department of mathematics, Faculty of Science-AL Faisaliah Campus, King Abdulaziz University, Jeddah, Saudi Arabia (email: hbakodah@kau.edu.sa).
S. O. Almuhalbedi is with Department of Mathematics; Faculty of Science; King Abdulaziz University, Jeddah; Saudi Arabia.

Cite: H. O. Bakodah, M. Al-Mazmumy, S. O. Almuhalbedi, "Application of Restarted Adomian Decomposition Method on Nonlinear System of Integro-Differential Equations," International Journal of Applied Physics and Mathematics vol. 7, no. 4, pp. 216-223, 2017.