44 citations · 117 across the 4 of their papers we have counts for
6 papers
Finite difference schemes for the tempered fractional Laplacian
Z. Z. Zhang, W. H. Deng, H. T. Fan
The second and all higher order moments of the -stable Lévy process diverge, the feature of which is sometimes referred to as shortcoming of the model when applied to physical p…
A Riesz basis Galerkin method for the tempered fractional Laplacian
Zhijiang Zhang, Weihua Deng, George Em Karniadakis
The fractional Laplacian is the generator of -stable Lévy process, which is the scaling limit of the Lévy fight. Due to the divergence of the second moment of the jump…
Numerical schemes of the time tempered fractional Feynman-Kac equation
Weihua Deng, Zhijiang Zhang
This paper focuses on providing the computation methods for the backward time tempered fractional Feynman-Kac equation, being one of the models recently proposed in [Wu, Deng, and…
Variational formulation and efficient implementation for solving the tempered fractional problems
Weihua Deng, Zhijiang Zhang
Because of the finiteness of the life span and boundedness of the physical space, the more reasonable or physical choice is the tempered power-law instead of pure power-law for the…
Multiresolution Galerkin method for solving the functional distribution of anomalous diffusion described by time-space fractional diffusion equation
Zhijiang Zhang, Weihua Deng
The functional distributions of particle trajectories have wide applications, including the occupation time in half-space, the first passage time, and the maximal displacement, etc…
Applications of Wavelet Bases to The Numerical Solutions of Fractional PDEs
Zhijiang Zhang, Weihua Deng
For describing the probability distribution of the positions and times of particles performing anomalous motion, fractional PDEs are derived from the continuous time random walk mo…