Open Access

ARTICLE

Numerical solution of fractional partial differential equations using Haar wavelets

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

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