Author(s)

M. Al-Towaiq, Ahmed Kasasbeh

Department of Mathematics and Statistics, Jordan University of Science and Technology, Al Ramtha, Irbid, Jordan.

In this paper, a modified algorithm is proposed for solving linear integro-differential equations of the second kind. The main idea is based on applying Romberg extrapolation algorithm (REA), on Trapezoidal rule. In accordance with the computational perspective, the comparison has shown that Adomian decomposition approach is more effective to be utilized. The numerical results show that the modified algorithm has been successfully applied to the linear integro-differential equations and the comparisons with some existing methods appeared in the literature reveal that the modified algorithm is more accurate and convenient.

Algorithm, Integro-Differential Equations, Trapezoidal Rule, Romberg Extrapolation

Al-Towaiq, M. and Kasasbeh, A. (2017) Modified Algorithm for Solving Linear Integro-Differential Equations of the Second Kind. American Journal of Computational Mathematics, 7, 157-165. doi: 10.4236/ajcm.2017.72014.