131 citations · 154 across the 5 of their papers we have counts for
6 papers
Local discontinuous Galerkin methods for the time tempered fractional diffusion equation
Xiaorui Sun, Fengfqun Zhao, Can Li
In this article, we consider discrete schemes for a fractional diffusion equation involving a tempered fractional derivative in time. We present a semi-discrete scheme by using the…
On the stability of exact ABCs for the reaction-subdiffusion equation on unbounded domain
Can Li
In this note we propose the exact artificial boundary conditions formula to the fractional reaction-subdiffusion equation on an unbounded domain. With the application of Laplace tr…
Well-posedness and numerical algorithm for the tempered fractional ordinary differential equations
Can Li, Weihua Deng, Lijing Zhao
Trapped dynamics widely appears in nature, e.g., the motion of particles in viscous cytoplasm. The famous continuous time random walk (CTRW) model with power law waiting time distr…
High order schemes for the tempered fractional diffusion equations
Can Li, Weihua Deng
Lévy flight models whose jumps have infinite moments are mathematically used to describe the superdiffusion in complex systems. Exponentially tempering the Levy measure of Lévy fli…
Second order WSGD operators II: A new family of difference schemes for space fractional advection diffusion equation
Can Li, Weihua Deng
The second order weighted and shifted Grünwald difference (WSGD) operators are developed in [Tian et al., arXiv:1201.5949] to solve space fractional partial differential equations.…
A weighted finite difference method for the fractional diffusion equation based on the Riemann-Liouville derivative
Ercília Sousa, Can Li
A one dimensional fractional diffusion model with the Riemann-Liouville fractional derivative is studied. First, a second order discretization for this derivative is presented and…