Stability and convergence of the Crank-Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equations

Stability and convergence of the Crank-Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equations

Abstract A Crank-Nicolson scheme catering to solving initial-boundary value problems of a class of variable-coefficient tempered fractional diffusion equations is proposed. It is shown through theoretical analysis that the scheme is unconditionally stable and the convergence rate with respect to the...

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Bibliographic Details
Main Authors: Wei Qu, Yong Liang
Format: Article
Language:English
Published: SpringerOpen 2017-04-01
Series:Advances in Difference Equations
Subjects:
Crank-Nicolson scheme
tempered fractional diffusion equations
unconditionally stable
convergence
variable coefficients
Online Access:http://link.springer.com/article/10.1186/s13662-017-1150-1

Internet

http://link.springer.com/article/10.1186/s13662-017-1150-1

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