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

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...

Full description

Saved in:
Bibliographic Details
Published in:Engineering analysis with boundary elements 2013-11, Vol.37 (11), p.1331-1338
Main Authors: Heydari, M.H., Hooshmandasl, M.R., Maalek Ghaini, F.M., Fereidouni, F.
Format: Article
Language:English
Subjects:
Dirichlet boundary condition
Fractional derivative
Legendre wavelets
Poisson equation
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0955-7997
1873-197X
DOI:10.1016/j.enganabound.2013.07.002