Numerical simulation with high order accuracy for the time fractional reaction-subdiffusion equation. (English) Zbl 1532.65046
Summary: In this paper, we propose the numerical simulation method with second order temporal accuracy and fourth order spatial accuracy for the time fractional reaction-subdiffusion equation; the stability, convergence and solvability of the numerical simulation method respectively are discussed by Fourier analysis and algebraic theory; the theoretical analysis results very consistent with the numerical experiment.
MSC:
| 65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |
| 35R11 | Fractional partial differential equations |
| 65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |
Keywords:
time fractional reaction-subdiffusion equation; numerical simulation method with second order temporal accuracy and fourth order spatial accuracy; stability; solvability; convergenceReferences:
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