Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions

被引：73
|
作者：
Heydari, M. H. [1 ]
Hooshmandasl, M. R. [1 ]
Ghaini, F. M. Maalek [1 ]
Fereidouni, F. [2 ]
机构：
[1] Yazd Univ, Fac Math, Yazd, Iran
[2] Yazd Univ, Fac Min Engn, Yazd, Iran
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2013年 / 37卷 / 11期
关键词：
Legendre wavelets; Poisson equation; Dirichlet boundary condition; Fractional derivative; NUMERICAL-SOLUTION;
D O I：
10.1016/j.enganabound.2013.07.002
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, the two-dimensional Legendre wavelets are applied for numerical solution of the fractional Poisson equation with Dirichlet boundary conditions. In this way, a new operational matrix of fractional derivative for the Legendre wavelets is derived and then this operational matrix has been employed to obtain the numerical solution of the above-mentioned problem. The main characteristic behind this approach is that it reduces such problems to those of solving a system of algebraic equations which greatly simplifies the problem. The convergence of the two-dimensional Legendre wavelets expansion is investigated. Also the power of this manageable method is illustrated. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1331 / 1338
页数：8
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