TY - JOUR A2 - Ezzat, Magdy A. AU - Mohamed, M. A. AU - Torky, M. Sh. PY - 2014 DA - 2014/03/03 TI - Approximate Solution of Fractional Nonlinear Partial Differential Equations by the Legendre Multiwavelet Galerkin Method SP - 192519 VL - 2014 AB - The Legendre multiwavelet Galerkin method is adopted to give the approximate solution for the nonlinear fractional partial differential equations (NFPDEs). The Legendre multiwavelet properties are presented. The main characteristic of this approach is using these properties together with the Galerkin method to reduce the NFPDEs to the solution of nonlinear system of algebraic equations. We presented the numerical results and a comparison with the exact solution in the cases when we have an exact solution to demonstrate the applicability and efficiency of the method. The fractional derivative is described in the Caputo sense. SN - 1110-757X UR - https://doi.org/10.1155/2014/192519 DO - 10.1155/2014/192519 JF - Journal of Applied Mathematics PB - Hindawi Publishing Corporation KW - ER -