381 citations · 1k across the 39 of their papers we have counts for
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Analyses of the contour integral method for time fractional subdiffusion-normal transport equation
Fugui Ma, Lijing Zhao, Weihua Deng +1
In this work, we theoretically and numerically discuss the time fractional subdiffusion-normal transport equation, which depicts a crossover from sub-diffusion (as …
Optimal convergence for the regularized solution of the model describing the competition between super- and sub- diffusions driven by fractional Brownian sheet noise
Jing Sun, Daxin Nie, Weihua Deng
Super- and sub- diffusions are two typical types of anomalous diffusions in the natural world. In this work, we discuss the numerical scheme for the model describing the competitio…
A sharp -robust scheme on graded meshes for two-dimensional time tempered fractional Fokker-Planck equation
Can Wang, Weihua Deng, Xiangong Tang
In this paper, we are concerned with the numerical solution for the two-dimensional time fractional Fokker-Planck equation with tempered fractional derivative of order . Althoug…
Numerical method for the Fokker-Planck equation of Brownian motion subordinated by inverse tempered stable subordinator with drift
Xiangong Tang, Can Wang, Weihua Deng
In this work, based on the complete Bernstein function, we propose a generalized regularity analysis including maximal regularity for the Fokker--Planck equation, wh…
Local discontinuous Galerkin method for the Backward Feynman-Kac Equation
Dong Liu, Weihua Deng
Anomalous diffusions are ubiquitous in nature, whose functional distributions are governed by the backward Feynman-Kac equation. In this paper, the local discontinuous Galerkin (LD…
Numerical Approximation for Stochastic Nonlinear Fractional Diffusion Equation Driven by Rough Noise
Daxin Nie, Jing Sun, Weihua Deng
In this work, we are interested in building the fully discrete scheme for stochastic fractional diffusion equation driven by fractional Brownian sheet which is temporally and spati…