期刊
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS
卷 37, 期 11, 页码 1331-1338出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.enganabound.2013.07.002
关键词
Legendre wavelets; Poisson equation; Dirichlet boundary condition; Fractional derivative
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.
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