Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
512528 | Engineering Analysis with Boundary Elements | 2013 | 8 Pages |
Abstract
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.
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Authors
M.H. Heydari, M.R. Hooshmandasl, F.M. Maalek Ghaini, F. Fereidouni,