Finite difference/spectral approximations for the time-fractional diffusion equation

Authors:
Yumin Lin;Chuanju Xu
Affiliations:
School of Mathematical Sciences, Xiamen University, 361005 Xiamen, China;School of Mathematical Sciences, Xiamen University, 361005 Xiamen, China
Venue:
Journal of Computational Physics
Year:
2007

Citing 6
Cited 42

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Abstract

In this paper, we consider the numerical resolution of a time-fractional diffusion equation, which is obtained from the standard diffusion equation by replacing the first-order time derivative with a fractional derivative (of order @a, with 0=