Dehghan, M. and Salehi, R. (2012) The Numerical Solution of the Non-Linear Integro-Differential Equations Based on the Meshless Method. Journal of Computational and Applied Mathematics, 236, 2367-2377.
https://doi.org/10.1016/j.cam.2011.11.022

has been cited by the following article:

• TITLE: Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)

  AUTHORS: Maryam Al-Mazmumy, Safa O. Almuhalbedi

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

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.5 No.4, December 16, 2016

  ABSTRACT: 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.