Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations

Version 1 : Received: 3 March 2021 / Approved: 4 March 2021 / Online: 4 March 2021 (09:20:22 CET)

How to cite: Hamoud, A.; Ghadle, K. A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations. Preprints 2021, 2021030148 (doi: 10.20944/preprints202103.0148.v1). Hamoud, A.; Ghadle, K. A Comparative Study of VIM and ADM for Solving Volterra-Fredholm Integro-Differential Equations. Preprints 2021, 2021030148 (doi: 10.20944/preprints202103.0148.v1).

Abstract

In this article, we present a comparative study between the Adomian Decomposition Method (ADM) and Variational Iteration Method (VIM). The study outlines the significant features of the two methods, for solving nonlinear Volterra-Fredholm integro-differential equations. From the computational viewpoint, the VIM is more efficient, convenient and easy to use. Moreover, we proved the existence and uniqueness results and convergence of the solution. Finally, an example is included to demonstrate the validity and applicability of the proposed techniques.

Subject Areas

Adomian decomposition method; variational iteration method; Volterra-Fredholm integro-differential equation; approximate solution.

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