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Numerical solution of fractional partial differential equations using Haar wavelets
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
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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
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APA Style
Wang, L., Meng, Z., Ma, Y., Wu, Z. (2013). Numerical solution of fractional partial differential equations using haar wavelets. Computer Modeling in Engineering & Sciences, 91(4), 269-287. https://doi.org/10.3970/cmes.2013.091.269
Vancouver Style
Wang L, Meng Z, Ma Y, Wu Z. Numerical solution of fractional partial differential equations using haar wavelets. Comput Model Eng Sci. 2013;91(4):269-287 https://doi.org/10.3970/cmes.2013.091.269
IEEE Style
L. Wang, Z. Meng, Y. Ma, and Z. Wu, “Numerical solution of fractional partial differential equations using Haar wavelets,” Comput. Model. Eng. Sci., vol. 91, no. 4, pp. 269-287, 2013. https://doi.org/10.3970/cmes.2013.091.269
Copyright © 2013 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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