Analytic approximate solutions of diffusion equations arising in oil pollution

•Applications of modified variational iteration algorithms in oil pollution.•Numerical solution of diffusion equation arising in oil pollution.•Nonlinear initial value problems arise in science and ocean engineering.•A powerful and accurate method which provides a practical way of obtaining solution...

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Bibliographic Details
Published in:Journal of ocean engineering and science Vol. 6; no. 1; pp. 62 - 69
Main Authors: Ahmad, Hijaz, Khan, Tufail A., Durur, Hülya, Ismail, G.M., Yokus, Asıf
Format: Journal Article
Language:English
Published: Elsevier B.V 01.03.2021
Elsevier
Subjects:
Allen-Cahn equation
Diffusion equation
Modified variational iteration algorithm-II
MVIA-I
Parabolic equation
Parabolic equation
Modified variational iteration algorithm-II
Diffusion equation
Allen-Cahn equation
MVIA-I
ISSN:2468-0133, 2468-0133
Online Access:Get full text
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Summary:•Applications of modified variational iteration algorithms in oil pollution.•Numerical solution of diffusion equation arising in oil pollution.•Nonlinear initial value problems arise in science and ocean engineering.•A powerful and accurate method which provides a practical way of obtaining solutions of nonlinear partial differential equations .•Comparision with difference method, Adomian's decomposition method, multiquadric quasi-interpolation methods and LLWM. In this article, modified versions of variational iteration algorithms are presented for the numerical simulation of the diffusion of oil pollutions. Three numerical examples are given to demonstrate the applicability and validity of the proposed algorithms. The obtained results are compared with the existing solutions, which reveal that the proposed methods are very effective and can be used for other nonlinear initial value problems arising in science and engineering.
ISSN:2468-0133
2468-0133
DOI:10.1016/j.joes.2020.05.002