659 citations · 2.4k across the 64 of their papers we have counts for
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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}…
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…
Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative
Jing Sun, Daxin Nie, Weihua Deng
Recently, the numerical schemes of the Fokker-Planck equations describing anomalous diffusion with two internal states have been proposed in [Nie, Sun and Deng, arXiv: 1811.04723],…