Numerical Solution for nonlinear Volterra-Fredholm Integro-Differential Equations using Adomian and Modified Adomian Decomposition Method

Abstract

Abstract: In this article, the Adomian Decomposition Method (ADM) and Modified Adomian Decomposition Method (MADM) are introduced to provide the approximate solutions for Volterra-Fredholm Integro-differential equations. Moreover, we prove the existence and uniqueness results and convergence of the solutions.  To arrive at that conclusion, an algorithm is used. Additionally, examples of deterministic models in graphs and tables are used to perform the convergence analysis of the proposed technique.