Work

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

Year: 2019

Type: conference-paper

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.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/1324/1/012030

Authors: Yongliang Zhao, Peiyong Zhu, Xianming Gu, Xile Zhao, Huanyan Jian

Institutions: University of Electronic Science and Technology of China, Southwestern University of Finance and Economics

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities