Back to Search
Start Over
Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions.
- Source :
-
Engineering Analysis with Boundary Elements . Nov2013, Vol. 37 Issue 11, p1331-1338. 8p. - Publication Year :
- 2013
-
Abstract
- 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. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 09557997
- Volume :
- 37
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Engineering Analysis with Boundary Elements
- Publication Type :
- Periodical
- Accession number :
- 90628762
- Full Text :
- https://doi.org/10.1016/j.enganabound.2013.07.002