NUMERICAL SOLUTION OF FOURTH-ORDER TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

被引：0

作者：

Javidi, M. ^{[1
]}

Ahmad, Bashir ^{[2
]}

机构：

[1] Univ Tabriz, Fac Math Sci, Tabriz, Iran

[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2015年 / 5卷 / 01期

关键词：

Fourth-order; time-fractional differential equations; Laplace transform; homotopy perturbation method; Stehfest's numerical inversion algorithm; HOMOTOPY PERTURBATION METHOD; COLLOCATION METHOD; LAPLACE TRANSFORM; INVERSION; SYSTEMS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical method for fourth-order time-fractional partial differential equations with variable coefficients is proposed. Our method consists of Laplace transform, the homotopy perturbation method and Stehfest's numerical inversion algorithm. We show the validity and efficiency of the proposed method (so called LHPM) by applying it to some examples and comparing the results obtained by this method with the ones found by Adomian decomposition method (ADM) and He's variational iteration method (HVIM).

引用

页码：52 / 63

页数：12

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