A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations
Abstract
A fractional partial differential equation (FPDE) is a partial differential equation which involves fractional calculus operators. In this paper, the numerical solutions of Initial - Boundary value problems for FPDEs have been approximated using Haar wavelet operational matrix method. The FPDEs are reduced into simple algebraic equations which can be solved easily by computer aided techniques. The simplicity and effectiveness of the proposed method are illustrated by providing several examples with numerical simulations.
Copyright © 2016 Raghvendra Singh Chandel, Amardeep Singh, Devendra Chouhan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
R. S. Chandel, A. Singh, D. Chouhan, A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations, J. Math. Comput. Sci. 6 (2016), 527–539.
BibTeX
@article{Chandel2016,
author = {Chandel, Raghvendra Singh and Singh, Amardeep and Chouhan, Devendra},
title = {A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations},
journal = {J. Math. Comput. Sci.},
volume = {6},
year = {2016},
pages = {527--539},
doi = {}
}