High order schemes for the tempered fractional diffusion equations. (English) Zbl 1347.65136
The authors study the tempered fractional diffusion equations. The high-order schemes for this system are designed by using Crank-Nicolson discretization in time, the tempered fractional calculus and the Grunwald type difference in space. The stability and convergence of the new derived numerical methods are presented.
Reviewer: Yajuan Sun (Beijing)
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 34A08 | Fractional ordinary differential equations |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
| 26A33 | Fractional derivatives and integrals |
Keywords:
tempered fractional diffusion equation; tempered Grunwald difference; Crank-Nicolson discretizationReferences:
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