659 citations · 2.4k across the 64 of their papers we have counts for
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Effects of the tempered aging and its Fokker-Planck equation
Weihua Deng, Wanli Wang, Xinchun Tian +1
In the renewal processes, if the waiting time probability density function is a tempered power-law distribution, then the process displays a transition dynamics; and the transition…
A hybridized discontinuous Galerkin method for 2D fractional convection-diffusion equations
Shuqin Wang, Jinyun Yuan, Weihua Deng +1
A hybridized discontinuous Galerkin method is proposed for solving 2D fractional convection-diffusion equations containing derivatives of fractional order in space on a finite doma…
Third order quasi-compact schemes for space tempered fractional diffusion equations
Yanyan Yu, Weihua Deng, Yujiang Wu +1
Power-law probability density function (PDF) plays a key role in both subdiffusion and Lévy flights. However, sometimes because of the finite of the lifespan of the particles or th…
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…
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…