Open AccessA numerical method for solving the time fractional reaction-diffusion equation with variable coefficients on the whole line
Author(s) -
Zeting Liu,
Yanfei Shen
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1592/1/012068
Subject(s) - hermite polynomials , mathematics , pseudospectral optimal control , mathematical analysis , gauss pseudospectral method , line (geometry) , space (punctuation) , gauss , scheme (mathematics) , variable (mathematics) , pseudo spectral method , physics , computer science , fourier transform , geometry , fourier analysis , quantum mechanics , operating system
This paper focuses on numerically solving the time fractional reaction-diffusion equation on the whole line. A numerical scheme is constructed based on Hermite pseudospectral method, we use finite difference scheme in time direction while Hermite-Gauss points in space. Several numerical results for the Hermite pseudospectral scheme are provided to confirm that a second-order time accuracy and spectral accuracy in space can be obtained.