Jing Sun

activity

20182023

most citedFast algorithms for convolution quadrature of Riemann-Liouville fractional derivative

19 citations · 80 across the 17 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NA2021

Regularity theory and numerical algorithm for the fractional Klein-Kramers equation

Jing Sun, Daxin Nie, Weihua Deng

Fractional Klein-Kramers equation can well describe subdiffusion in phase space. In this paper, we develop the fully discrete scheme for fractional Klein-Kramers equation based on…

math.NA2021

Numerical approximations for the fractional Fokker-Planck equation with two-scale diffusion

Jing Sun, Weihua Deng, Daxin Nie

Fractional Fokker-Planck equation plays an important role in describing anomalous dynamics. To the best of our knowledge, the existing discussions mainly focus on this kind of equa…

math.NA2021★ 2 cited

Finite difference method for inhomogeneous fractional Dirichlet problem

Jing Sun, Weihua Deng, Daxin Nie

We make the split of the integral fractional Laplacian as $(- Δ)^{s} u = (- Δ) (- Δ)^{s - 1} u$ , where $s \in (0, \frac{1}{2}) \cup (\frac{1}{2}, 1)$ . Based on this splitting, we respectively discr…