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arXiv · 1905.01781

An implicit integration factor method for a kind of spatial fractional diffusion equations

Yong-Liang Zhao·Pei-Yong Zhu·Xian-Ming Gu·Xi-Le Zhao·Huan-Yan Jian
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Abstract

A kind of spatial fractional diffusion equations in this paper are studied. Firstly, an L1 formula is employed for the spatial discretization of the equations. Then, a second order scheme is derived based on the resulting semi-discrete ordinary differential system by using the implicit integration factor method, which is a class of efficient semi-implicit temporal scheme. Numerical results show that the proposed scheme is accurate even for the discontinuous coefficients.

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Yong-Liang Zhao, Pei-Yong Zhu, Xian-Ming Gu, Xi-Le Zhao, Huan-Yan Jian. 2019-05-06. An implicit integration factor method for a kind of spatial fractional diffusion equations. https://doi.org/10.1088/1742-6596/1324/1/012030

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