TY  - EJOU
AU  - Yi, Mingxu 
AU  - Chen, Yiming 

TI  - Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2012
VL  - 88
IS  - 3
SN  - 1526-1506

AB  - In this paper, Haar wavelet operational matrix method is proposed to solve a class of fractional partial differential equations. We derive the Haar wavelet operational matrix of fractional order integration. Meanwhile, the Haar wavelet operational matrix of fractional order differentiation is obtained. The operational matrix of fractional order differentiation is utilized to reduce the initial equation to a Sylvester equation. Some numerical examples are included to demonstrate the validity and applicability of the approach.
KW  - Haar wavelet
KW  -  operational matrix
KW  -  fractional partial differential equation
KW  -  Sylvester equation
KW  -  numerical solution

DO  - 10.3970/cmes.2012.088.229