Analytic approximate solutions of diffusion equations arising in oil pollution

被引：33

作者：

Ahmad, Hijaz ^{[1
]}

Khan, Tufail A. ^{[1
]}

Durur, Hulya ^{[2
]}

Ismail, G. M. ^{[3
,5
]}

Yokus, Asif ^{[4
]}

机构：

[1] Univ Engn & Technol, Dept Basic Sci, Peshawar 25000, Pakistan

[2] Ardahan Univ, Dept Comp Engn, Fac Engn, TR-75000 Ardahan, Turkey

[3] Sohag Univ, Dept Math, Fac Sci, Sohag 82524, Egypt

[4] Firat Univ, Dept Actuary, Fac Sci, TR-23200 Elazig, Turkey

[5] Islamic Univ Madinah, Dept Math, Fac Sci, Madinah 170, Saudi Arabia

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2021年 / 6卷 / 01期

关键词：

Modified variational iteration algorithm-II; Diffusion equation; Allen-Cahn equation; Parabolic equation; MVIA-I; VARIATIONAL ITERATION METHOD; FUNCTION EXPANSION METHOD; WAVE SOLUTIONS; AUXILIARY PARAMETER; SOLITON-SOLUTIONS; TRANSFORM; PRINCIPLE;

D O I：

10.1016/j.joes.2020.05.002

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

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. (c) 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/ )

引用

页码：62 / 69

页数：8

共 50 条

[41] Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions
Anjali Verma
Ram Jiwari
Mehmet Emir Koksal
Advances in Difference Equations, 2014
[42] Analytic Solutions of Drift-Diffusion Equations and Mobility of Organic Semiconductors
Sun, Jiu-Xun
Yang, Hong-Chun
Li, Yang
Cui, Hai-Juan
PHYSICAL REVIEW APPLIED, 2023, 20 (03)
[43] Analytic and numerical solutions of nonlinear diffusion equations via symmetry reductions
Verma, Anjali
Jiwari, Ram
Koksal, Mehmet Emir
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[44] Analytic solutions of reaction diffusion equations and implications for the concept of an air parcel
McKenna, DS
JOURNAL OF GEOPHYSICAL RESEARCH-ATMOSPHERES, 1997, 102 (D12) : 13719 - 13725
[45] Stability and approximate analytic solutions of the fractional Lotka-Volterra equations for three competitors
Changhong Guo
Shaomei Fang
Advances in Difference Equations, 2016
[46] Approximate analytic solutions of the renormalization group equations for Yukawa and soft couplings in SUSY models
Codoban, S
Kazakov, DI
EUROPEAN PHYSICAL JOURNAL C, 2000, 13 (04): : 671 - 679
[47] Stability and approximate analytic solutions of the fractional Lotka-Volterra equations for three competitors
Guo, Changhong
Fang, Shaomei
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[48] Approximate analytic solutions of the renormalization group equations for Yukawa and soft couplings in SUSY models
S. Codoban
D.I. Kazakov
The European Physical Journal C - Particles and Fields, 2000, 13 : 671 - 679
[49] Approximate inverse preconditioners for linear systems arising from spatial balanced fractional diffusion equations
Guo, Xiaofeng
Pan, Jianyu
AIMS MATHEMATICS, 2023, 8 (07): : 17284 - 17306
[50] Hyperbolic Partial Differential Equations with Nonlocal Mixed Boundary Values and their Analytic Approximate Solutions
Turkyilmazoglu, Mustafa
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2018, 15 (02)

← 1 2 3 4 5 →