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2014 Approximate Solution of Fractional Nonlinear Partial Differential Equations by the Legendre Multiwavelet Galerkin Method
M. A. Mohamed, M. Sh. Torky
J. Appl. Math. 2014: 1-12 (2014). DOI: 10.1155/2014/192519

Abstract

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.

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M. A. Mohamed. M. Sh. Torky. "Approximate Solution of Fractional Nonlinear Partial Differential Equations by the Legendre Multiwavelet Galerkin Method." J. Appl. Math. 2014 1 - 12, 2014. https://doi.org/10.1155/2014/192519

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010565
MathSciNet: MR3178953
Digital Object Identifier: 10.1155/2014/192519

Rights: Copyright © 2014 Hindawi

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