Finite difference scheme for multi-term variable-order fractional diffusion equation

Finite difference scheme for multi-term variable-order fractional diffusion equation

Abstract In this paper, we consider a multi-term variable-order fractional diffusion equation on a finite domain, which involves the Caputo variable-order time fractional derivative of order α(x,t)∈(0,1) $\alpha(x,t) \in(0,1) $ and the Riesz variable-order space fractional derivatives of order β(x,t...

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Bibliographic Details
Main Authors: Tao Xu, Shujuan Lü, Wenping Chen, Hu Chen
Format: Article
Language:English
Published: SpringerOpen 2018-03-01
Series:Advances in Difference Equations
Subjects:
Multi-term fractional diffusion equation
Variable-order fractional derivatives
Difference scheme
Stability
Convergence
Online Access:http://link.springer.com/article/10.1186/s13662-018-1544-8

Internet

http://link.springer.com/article/10.1186/s13662-018-1544-8

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