An efficient technique for solving fractional-order diffusion equations arising in oil pollution

被引：26

作者：

Patel, Hardik ^{[1
]}

Patel, Trushit ^{[2
]}

Pandit, Dhiren ^{[3
]}

机构：

[1] Uka Tarsadia Univ, Dept Math, Bardoli, Gujarat, India

[2] Univ People, Comp Sci, Pasadena, CA 91101 USA

[3] Nirma Univ, Dept Math & Humanities, Ahmadabad, India

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2023年 / 8卷 / 03期

关键词：

FRDTM; Time-fractional nonlinear partial differential; equation; Diffusion equation; Allen-Cahn (AC) equation; Parabolic equations; FINITE-ELEMENT-METHOD; ALLEN-CAHN EQUATION; NUMERICAL-SIMULATION; TRANSPORT; SPILLS;

D O I：

10.1016/j.joes.2022.01.004

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, non-linear time-fractional diffusion equations are considered to describe oil pollution in the water. The latest technique, fractional reduced differential transform method (FRDTM), is used to ac-quire approximate solutions of the time fractional-order diffusion equation and two cases of Allen-Cahn equations. The acquired results are collated with the exact solutions and other results from literature for integer-order alpha, which reveal that the proposed method is effective. Hence, FRDTM can be employed to obtain solutions for different types of nonlinear fractional-order IVPs arising in engineering and science.(c) 2022 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：217 / 225

页数：9

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