66 citations · 246 across the 13 of their papers we have counts for
13 papers
Fast and High-order Accuracy Numerical Methods for Time-Dependent Nonlocal Problems in $\mathbb{R}^2
Rongjun Cao, Minghua Chen, Michael K. Ng +1
In this paper, we study the Crank-Nicolson method for temporal dimension and the piecewise quadratic polynomial collocation method for spatial dimensions of time-dependent nonlocal…
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…
Fast predictor-corrector approach for the tempered fractional ordinary differential equations
Jingwei Deng, Lijing Zhao, Yujiang Wu
The tempered evolution equation describes the trapped dynamics, widely appearing in nature, e.g., the motion of living particles in viscous liquid. This paper proposes the fast pre…
Fourth order quasi-compact difference schemes for (tempered) space fractional diffusion equations
Yanyan Yu, Weihua Deng, Yujiang Wu
The continuous time random walk (CTRW) underlies many fundamental processes in non-equilibrium statistical physics. When the jump length of CTRW obeys a power-law distribution, its…
On semi-convergence of generalized skew-Hermitian triangular splitting iteration methods for singular saddle-point problems
Yan Dou, Ai-Li Yang, Yu-Jiang Wu
Recently, Krukier et al. [Generalized skew-Hermitian triangular splitting iteration methods for saddle-point linear systems, Numer. Linear Algebra Appl. 21 (2014) 152-170] proposed…
Characteristic local discontinuous Galerkin methods for solving time-dependent convection-dominated Navier-Stokes equations
Shuqin Wang, Weihua Deng, Yujiang Wu +1
Combining the characteristic method and the local discontinuous Galerkin method with carefully constructing numerical fluxes, we design the variational formulations for the time-de…
General constraint preconditioning iteration method for singular saddle-point problems
Ai-Li Yang, Guo-Feng Zhang, Yu-Jiang Wu
For the singular saddle-point problems with nonsymmetric positive definite block, we present a general constraint preconditioning (GCP) iteration method based on a singular…
Positivity and Boundedness Preserving Schemes for Space-Time Fractional Predator-Prey Reaction-Diffusion Model
Yanyan Yu, Weihua Deng, Yujiang Wu
The semi-implicit schemes for the nonlinear predator-prey reaction-diffusion model with the space-time fractional derivatives are discussed, where the space fractional derivative i…
Positivity and boundedness preserving schemes for the fractional reaction-diffusion equation
Yanyan Yu, Weihua Deng, Yujiang Wu
In this paper, we design a semi-implicit scheme for the scalar time fractional reaction-diffusion equation. We theoretically prove that the numerical scheme is stable without the r…
Polynomial Spectral collocation Method for Space Fractional Advection-Diffusion Equation
WenYi Tian, Weihua Deng, Yujiang Wu
This paper discusses the spectral collocation method for numerically solving nonlocal problems: one dimensional space fractional advection-diffusion equation; and two dimensional l…
Second order finite difference approximations for the two-dimensional time-space Caputo-Riesz fractional diffusion equation
Minghua Chen, Weihua Deng, Yujiang Wu
In this paper, we discuss the time-space Caputo-Riesz fractional diffusion equation with variable coefficients on a finite domain. The finite difference schemes for this equation a…