Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions

被引：122

作者：

Heydari, M. H. ^{[1
]}

Hooshmandasl, M. R. ^{[1
]}

Mohammadi, F. ^{[2
]}

机构：

[1] Yazd Univ, Fac Math, Yazd, Iran

[2] Hormozgan Univ, Dept Math, Fac Sci, Bandarabbas, Iran

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 234卷

关键词：

Two-dimensional Legendre wavelets; Operational matrices; Fractional partial differential equations; NUMERICAL-SOLUTION; APPROXIMATIONS; SYSTEMS;

D O I：

10.1016/j.amc.2014.02.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a new method based on the Legendre wavelets expansion together with operational matrices of fractional integration and derivative of these basis functions is proposed to solve fractional partial differential equations with Dirichlet boundary conditions. The proposed method is very convenient for solving such boundary value problems, since the boundary conditions are taken into account automatically. Convergence of the two-dimensional Legendre wavelets expansion is investigated. Illustrative examples are included to demonstrate the validity and applicability of the presented wavelets method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：267 / 276

页数：10

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