array(2) { ["lab"]=> string(4) "1409" ["publication"]=> string(5) "12595" } Stability and convergence of the Crank-Nicolson scheme for a class of variable-coefficient tempered fractional diffusion equations - Liang Yong | LabXing

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

2017
期刊 Advances in Difference Equations
作者 Wei Qu · Yong Liang
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 space and time step is under a certain condition. Numerical experiments are provided to verify the effectiveness and accuracy of the scheme.

  • 卷 2017
  • 期 1
  • 页码 1-11
  • SpringerOpen