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Numerical Solution for a Class of Linear System of Fractional Differential Equations by the Haar Wavelet Method and the Convergence Analysis

Yiming Chen1, Xiaoning Han1, Lechun Liu 1

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

Computer Modeling in Engineering & Sciences 2014, 97(5), 391-405. https://doi.org/10.3970/cmes.2014.097.391

Abstract

In this paper, a class of linear system of fractional differential equations is considered. It has been solved by operational matrix of Haar wavelet method which converts the problem into algebraic equations. Moreover the convergence of the method is studied, and three numerical examples are provided to demonstrate the accuracy and efficiency.

Keywords

system of fractional differential equations, haar wavelet, operational matrix, convergence analysis.

Cite This Article

APA Style
Chen, Y., Han, X., Liu, L. (2014). Numerical Solution for a Class of Linear System of Fractional Differential Equations by the Haar Wavelet Method and the Convergence Analysis. Computer Modeling in Engineering & Sciences, 97(5), 391–405. https://doi.org/10.3970/cmes.2014.097.391
Vancouver Style
Chen Y, Han X, Liu L. Numerical Solution for a Class of Linear System of Fractional Differential Equations by the Haar Wavelet Method and the Convergence Analysis. Comput Model Eng Sci. 2014;97(5):391–405. https://doi.org/10.3970/cmes.2014.097.391
IEEE Style
Y. Chen, X. Han, and L. Liu, “Numerical Solution for a Class of Linear System of Fractional Differential Equations by the Haar Wavelet Method and the Convergence Analysis,” Comput. Model. Eng. Sci., vol. 97, no. 5, pp. 391–405, 2014. https://doi.org/10.3970/cmes.2014.097.391



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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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