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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.

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Cite This Article

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



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