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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.

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APA Style
Li, B. (2013). The second kind chebyshev wavelet method for fractional differential equations with variable coefficients. Computer Modeling in Engineering & Sciences, 93(3), 187-202. https://doi.org/10.3970/cmes.2013.093.187
Vancouver Style
Li B. The second kind chebyshev wavelet method for fractional differential equations with variable coefficients. Comput Model Eng Sci. 2013;93(3):187-202 https://doi.org/10.3970/cmes.2013.093.187
IEEE Style
B. Li, "The Second Kind Chebyshev Wavelet Method for Fractional Differential Equations with Variable Coefficients," Comput. Model. Eng. Sci., vol. 93, no. 3, pp. 187-202. 2013. https://doi.org/10.3970/cmes.2013.093.187



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