A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations

Raghvendra Singh Chandel, Amardeep Singh, Devendra Chouhan

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.


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How to Cite this Article:

Raghvendra Singh Chandel, Amardeep Singh, Devendra Chouhan, A wavelet operational matrix method for solving initial - boundary value problems for fractional partial differential equations, Journal of Mathematical and Computational Science, Vol 6, No 4 (2016), 527-539

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.

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