2 citations · 6 across the 7 of their papers we have counts for
11 papers
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…
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…
An inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion
Daxin Nie, Weihua Deng
We study the inverse random source problem for the time-space fractional diffusion equation driven by fractional Brownian motion with Hurst index . With the aid of a nov…
A unified convergence analysis for the fractional diffusion equation driven by fractional Gaussion noise with Hurst index
Daxin Nie, Weihua Deng
Here, we provide a unified framework for numerical analysis of stochastic nonlinear fractional diffusion equation driven by fractional Gaussian noise with Hurst index .…
Finite difference method for inhomogeneous fractional Dirichlet problem
Jing Sun, Weihua Deng, Daxin Nie
We make the split of the integral fractional Laplacian as , where . Based on this splitting, we respectively discr…
Local discontinuous Galerkin method for the fractional diffusion equation with integral fractional Laplacian
Daxin Nie, Weihua Deng
In this paper, we provide a framework of designing the local discontinuous Galerkin scheme for integral fractional Laplacian with in two dimensions. We theor…