659 citations · 2.4k across the 64 of their papers we have counts for
10 papers · 1 filter
A Series of High Order Quasi-Compact Schemes for Space Fractional Diffusion Equations Based on the Superconvergent Approximations for Fractional Derivatives
Lijing Zhao, Weihua Deng
Based on the superconvergent approximation at some point (depending on the fractional order , but not belonging to the mesh points) for Grünwald discretization to fractional der…
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…
Second order WSGD operators II: A new family of difference schemes for space fractional advection diffusion equation
Can Li, Weihua Deng
The second order weighted and shifted Grünwald difference (WSGD) operators are developed in [Tian et al., arXiv:1201.5949] to solve space fractional partial differential equations.…
Discretized fractional substantial calculus
Minghua Chen, Weihua Deng
This paper discusses the properties and the numerical discretizations of the fractional substantial integral $$I_s^νf(x)=\frac{1}{Γ(ν)} \int_{a}^x{\left(x-τ\right)^{ν-1}}e^{-σ(x-τ)…
WSLD operators II: the new fourth order difference approximations for space Riemann-Liouville derivative
Minghua Chen, Weihua Deng
High order discretization schemes play more important role in fractional operators than classical ones. This is because usually for classical derivatives the stencil for high order…
WSLD operators: A class of fourth order difference approximations for space Riemann-Liouville derivative
Minghua Chen, Weihua Deng
Because of the nonlocal properties of fractional operators, higher order schemes play more important role in discretizing fractional derivatives than classical ones. The striking f…