2021 New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations
Mohamed Z. Mohamed, Tarig M. Elzaki, Mohamed S. Algolam, Eltaib M. Abd Elmohmoud, Amjad E. Hamza
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J. Appl. Math. 2021: 1-10 (2021). DOI: 10.1155/2021/6662645

Abstract

The objective of this paper is to compute the new modified method of variational iteration and the Laplace Adomian decomposition method for the solution of nonlinear fractional partial differential equations. We execute a comparatively newfangled analytical mechanism that is denoted by the modified Laplace variational iteration method (MLVIM) and Laplace Adomian decomposition method (LADM). The effect of the numerical results indicates that the double approximation is handy to execute and reliable when applied. It is shown that numerical solutions are gained in the form of approximately series which are facilely computable.

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Mohamed Z. Mohamed. Tarig M. Elzaki. Mohamed S. Algolam. Eltaib M. Abd Elmohmoud. Amjad E. Hamza. "New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations." J. Appl. Math. 2021 1 - 10, 2021. https://doi.org/10.1155/2021/6662645

Information

Received: 23 October 2020; Accepted: 3 March 2021; Published: 2021
First available in Project Euclid: 28 July 2021

Digital Object Identifier: 10.1155/2021/6662645

Rights: Copyright © 2021 Hindawi

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