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Numerical solution of fractional partial differential equations using Haar wavelets

Lifeng Wang1, Zhijun Meng1, Yunpeng Ma1, Zeyan Wu2
School of Aeronautic Science and Technology, Beihang University, Beijing, China.
School of Aerospace, Tsinghua University, Beijing, China.

Computer Modeling in Engineering & Sciences 2013, 91(4), 269-287. https://doi.org/10.3970/cmes.2013.091.269

Abstract

In this paper, we present a computational method for solving a class of fractional partial differential equations which is based on Haar wavelets operational matrix of fractional order integration. We derive the Haar wavelets operational matrix of fractional order integration. Haar wavelets method is used because its computation is sample as it converts the original problem into Sylvester equation. Finally, some examples are included to show the implementation and accuracy of the approach.

Keywords

Haar wavelets, Operational matrix, Fractional partial differential equations, Sylvester equation, Numerical solution.

Cite This Article

Wang, L., Meng, Z., Ma, Y., Wu, Z. (2013). Numerical solution of fractional partial differential equations using Haar wavelets. CMES-Computer Modeling in Engineering & Sciences, 91(4), 269–287.



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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