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Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations

Mingxu Yi1, Yiming Chen1

1 College of Sciences, Yanshan University, Qinhuangdao, Hebei, China

Computer Modeling in Engineering & Sciences 2012, 88(3), 229-244. https://doi.org/10.3970/cmes.2012.088.229

Abstract

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.

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Cite This Article

Yi, M., Chen, Y. (2012). Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations. CMES-Computer Modeling in Engineering & Sciences, 88(3), 229–244.



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