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The Second Kind Chebyshev Wavelet Method for Fractional Differential Equations with Variable Coefficients

Baofeng Li1
Department of Mathematics and Information Science, Tangshan Normal University, Tangshan, Hebei, China.

Computer Modeling in Engineering & Sciences 2013, 93(3), 187-202. https://doi.org/10.3970/cmes.2013.093.187

Abstract

In this article, the second kind Chebyshev wavelet method is presented for solving a class of multi-order fractional differential equations (FDEs) with variable coefficients. We first construct the second kind Chebyshev wavelet, prove its convergence and then derive the operational matrix of fractional integration of the second kind Chebyshev wavelet. The operational matrix of fractional integration is utilized to reduce the fractional differential equations to a system of algebraic equations. In addition, illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.

Keywords

Fractional calculus, the second kind Chebyshev wavelet, operational matrix, fractional differential equations, Block Pulse Function.

Cite This Article

Li, B. (2013). The Second Kind Chebyshev Wavelet Method for Fractional Differential Equations with Variable Coefficients. CMES-Computer Modeling in Engineering & Sciences, 93(3), 187–202.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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