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math.NA2021
Second-order and nonuniform time-stepping schemes for time fractional evolution equations with time-space dependent coefficients
Pin Lyu, Seakweng Vong
The numerical analysis of time fractional evolution equations with the second-order elliptic operator including general time-space dependent variable coefficients is challenging, e…
math.NA2021
A symmetric fractional-order reduction method for direct nonuniform approximations of semilinear diffusion-wave equations
Pin Lyu, Seakweng Vong
We introduce a symmetric fractional-order reduction (SFOR) method to construct numerical algorithms on general nonuniform temporal meshes for semilinear fractional diffusion-wave e…