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Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
Computer Modeling in Engineering & Sciences 2012, 88(3), 229-244. https://doi.org/10.3970/cmes.2012.088.229
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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.Keywords
Haar wavelet, operational matrix, fractional partial differential equation, Sylvester equation, numerical solution.
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APA Style
Yi, M., Chen, Y. (2012). Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations. Computer Modeling in Engineering & Sciences, 88(3), 229–244. https://doi.org/10.3970/cmes.2012.088.229
Vancouver Style
Yi M, Chen Y. Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations. Comput Model Eng Sci. 2012;88(3):229–244. https://doi.org/10.3970/cmes.2012.088.229
IEEE Style
M. Yi and Y. Chen, “Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations,” Comput. Model. Eng. Sci., vol. 88, no. 3, pp. 229–244, 2012. https://doi.org/10.3970/cmes.2012.088.229
Copyright © 2012 The Author(s). Published by Tech Science Press.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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