(7)Analytic approximate solutions of diffusion equations arising in oil pollution
PDF.pdf
Hijaz Ahmada,∗, Tufail A. Khana, Hülya Dururb, G.M. Ismailc,e, Asıf Yokusd
a Department of Basic Sciences, University of Engineering and Technology, Peshawar, 25000, Pakistan
b Department of Computer Engineering, Faculty of Engineering, Ardahan University, Ardahan, 75000, Turkey
c Department of Mathematics, Faculty of Science, Sohag University, Sohag, 82524, Egypt
d Department of Actuary, Faculty of Science, Firat University, Elazig, 23200, Turkey
e Department of Mathematics, Faculty of Science, Islamic University of Madinah, 170, Madinah, Saudi Arabia
Received 18 March 2020; received in revised form 26 April 2020; accepted 5 May 2020
Available online 2 June 2020
Abstract
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.
© 2020 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Modified variational iteration algorithm-II; Diffusion equation; Allen-Cahn equation; Parabolic equation; MVIA-I.