Analytic approximate solutions of diffusion equations arising in oil pollution

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 th...

Full description

Bibliographic Details
Main Authors:	Hijaz Ahmad, Tufail A. Khan, Hülya Durur, G.M. Ismail, Asıf Yokus
Format:	Article
Language:	English
Published:	Elsevier 2021-03-01
Series:	Journal of Ocean Engineering and Science
Subjects:	Modified variational iteration algorithm-II Diffusion equation Allen-Cahn equation Parabolic equation MVIA-I
Online Access:	http://www.sciencedirect.com/science/article/pii/S2468013320300504

id	doaj-d93503b9532346d9ab06309332b96e51
record_format	Article
spelling	doaj-d93503b9532346d9ab06309332b96e512021-02-11T04:23:17ZengElsevierJournal of Ocean Engineering and Science2468-01332021-03-01616269Analytic approximate solutions of diffusion equations arising in oil pollutionHijaz Ahmad0Tufail A. Khan1Hülya Durur2G.M. Ismail3Asıf Yokus4Department of Basic Sciences, University of Engineering and Technology, Peshawar, 25000, Pakistan; Corresponding author.Department of Basic Sciences, University of Engineering and Technology, Peshawar, 25000, PakistanDepartment of Computer Engineering, Faculty of Engineering, Ardahan University, Ardahan, 75000, TurkeyDepartment of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt; Department of Mathematics, Faculty of Science, Islamic University of Madinah, 170, Madinah, Saudi ArabiaDepartment of Actuary, Faculty of Science, Firat University, Elazig, 23200, TurkeyIn 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.http://www.sciencedirect.com/science/article/pii/S2468013320300504Modified variational iteration algorithm-IIDiffusion equationAllen-Cahn equationParabolic equationMVIA-I
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hijaz Ahmad Tufail A. Khan Hülya Durur G.M. Ismail Asıf Yokus
spellingShingle	Hijaz Ahmad Tufail A. Khan Hülya Durur G.M. Ismail Asıf Yokus Analytic approximate solutions of diffusion equations arising in oil pollution Journal of Ocean Engineering and Science Modified variational iteration algorithm-II Diffusion equation Allen-Cahn equation Parabolic equation MVIA-I
author_facet	Hijaz Ahmad Tufail A. Khan Hülya Durur G.M. Ismail Asıf Yokus
author_sort	Hijaz Ahmad
title	Analytic approximate solutions of diffusion equations arising in oil pollution
title_short	Analytic approximate solutions of diffusion equations arising in oil pollution
title_full	Analytic approximate solutions of diffusion equations arising in oil pollution
title_fullStr	Analytic approximate solutions of diffusion equations arising in oil pollution
title_full_unstemmed	Analytic approximate solutions of diffusion equations arising in oil pollution
title_sort	analytic approximate solutions of diffusion equations arising in oil pollution
publisher	Elsevier
series	Journal of Ocean Engineering and Science
issn	2468-0133
publishDate	2021-03-01
description	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.
topic	Modified variational iteration algorithm-II Diffusion equation Allen-Cahn equation Parabolic equation MVIA-I
url	http://www.sciencedirect.com/science/article/pii/S2468013320300504
work_keys_str_mv	AT hijazahmad analyticapproximatesolutionsofdiffusionequationsarisinginoilpollution AT tufailakhan analyticapproximatesolutionsofdiffusionequationsarisinginoilpollution AT hulyadurur analyticapproximatesolutionsofdiffusionequationsarisinginoilpollution AT gmismail analyticapproximatesolutionsofdiffusionequationsarisinginoilpollution AT asıfyokus analyticapproximatesolutionsofdiffusionequationsarisinginoilpollution
_version_	1724274641751506944

Analytic approximate solutions of diffusion equations arising in oil pollution

Similar Items