Mirzaee, F. and Bimesl, S. (2015) Numerical Solutions of Systems of High-Order Fredholmintegro-Differential Equations Using Euler Polynomials. Applied Mathematical Modelling, 39, 6767-6779.
https://doi.org/10.1016/j.apm.2015.02.022

has been cited by the following article:

• TITLE: Modified Algorithm for Solving Linear Integro-Differential Equations of the Second Kind

  AUTHORS: M. Al-Towaiq, Ahmed Kasasbeh

  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.