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math.NA2024
Error analysis of a collocation method on graded meshes for nonlocal diffusion problems with weakly singular kernels
Minghua Chen, Chao Min, Jiankang Shi +1
Can graded meshes yield more accurate numerical solution than uniform meshes? A time-dependent nonlocal diffusion problem with a weakly singular kernel is considered using collocat…
math.NA2024
High-order BDF convolution quadrature for stochastic fractional evolution equations driven by integrated additive noise
Minghua Chen, Jiankang Shi, Zhen Song +2
The numerical analysis of stochastic time fractional evolution equations presents considerable challenges due to the limited regularity of the model caused by the nonlocal operator…