Solving Fractional Partial Differential Equation by Using Wavelet Operational Method

Volume 7, Issue 4, pp 230 - 240 http://dx.doi.org/10.22436/jmcs.07.04.01

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Authors

A. Neamaty - Department of Mathematics, University of Mazandaran, Babolsar, Iran. B. Agheli - Department of Mathematics, University of Mazandaran, Babolsar, Iran. R. Darzi - Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran.

Abstract

In this paper, we use a method based on the operational matrices to the solution of the fractional partial differential equations. The main approach is based on the operational matrices of the Haar wavelets to obtain the algebraic equations. The fractional derivatives are described in Caputo sense. Some examples are included to demonstrate the validity and applicability of the techniques.

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Keywords

• Operational matrix
• Fractional partial differential equation
• Haar wavelets
• Numerical method.

MSC

•  65R20
•  26A33
•  45K05
•  65T60

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