659 citations · 2.4k across the 64 of their papers we have counts for
7 papers · 1 filter
Galerkin finite element approximation for semilinear stochastic time-tempered fractional wave equations with multiplicative white noise and fractional Gaussian noise
Yajing Li, Yejuan Wang, Weihua Deng
To model wave propagation in inhomogeneous media with frequency-dependent power-law attenuation, it is needed to use the fractional powers of symmetric coercive elliptic operators…
Error estimates for backward fractional Feynman-Kac equation with non-smooth initial data
Jing Sun, Daxin Nie, Weihua Deng
In this paper, we are concerned with the numerical solution for the backward fractional Feynman-Kac equation with non-smooth initial data. Here we first provide the regularity esti…
Numerical algorithm for the model describing anomalous diffusion in expanding media
Daxin Nie, Jing Sun, Weihua Deng
We provide a numerical algorithm for the model characterizing anomalous diffusion in expanding media, which is derived in [F. Le Vot, E. Abad, and S. B. Yuste, Phys. Rev. E {\bf96}…
Continuous time random walks and Lévy walks with stochastic resetting
Tian Zhou, Pengbo Xu, Weihua Deng
Intermittent stochastic processes appear in a wide field, such as chemistry, biology, ecology, and computer science. This paper builds up the theory of intermittent continuous time…
Lévy walk revisited: Hermite polynomial expansion approach
Pengbo Xu, Weihua Deng, Trifce Sandev
Integral transform method (Fourier or Laplace transform, etc) is more often effective to do the theoretical analysis for the stochastic processes. However, for the time-space coupl…
Numerical algorithm for the space-time fractional Fokker-Planck system with two internal states
Daxin Nie, Jing Sun, Weihua Deng
The fractional Fokker-Planck system with multiple internal states is derived in [Xu and Deng, Math. Model. Nat. Phenom., , 10 (2018)], where the space derivative is La…