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

Ahmed Hamoud; Kirtiwant Ghadle

doi:10.20944/preprints202103.0148.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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.

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

MATHEMATICS & COMPUTER SCIENCE, Algebra & Number Theory

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

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