New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations | Zendy

Mohamed Z. Mohamed | Zendy; Tarig M. Elzaki | Zendy; Mohamed S. Algolam | Zendy; Eltaib M. Abd Elmohmoud | Zendy; Amjad E. Hamza | Zendy

Open Access

New Modified Variational Iteration Laplace Transform Method Compares Laplace Adomian Decomposition Method for Solution Time-Partial Fractional Differential Equations

Author(s) -

Mohamed Z. Mohamed,

Tarig M. Elzaki,

Mohamed S. Algolam,

Eltaib M. Abd Elmohmoud,

Amjad E. Hamza

Publication year - 2021

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2021/6662645

Subject(s) - adomian decomposition method , laplace transform , mathematics , laplace transform applied to differential equations , decomposition method (queueing theory) , laplace's equation , series (stratigraphy) , partial differential equation , mathematical analysis , nonlinear system , physics , paleontology , discrete mathematics , quantum mechanics , biology

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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