TITLE:
Modified Algorithm for Solving Linear Integro-Differential Equations of the Second Kind
AUTHORS:
M. Al-Towaiq, Ahmad H. Alkasasbeh
KEYWORDS:
Algorithm, Integro-Differential Equations, Trapezoidal Rule, Romberg Extrapolation
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.7 No.2,
June
22,
2017
ABSTRACT: 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.