199 citations · 659 across the 34 of their papers we have counts for
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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…
A second-order numerical method for two-dimensional two-sided space fractional convection diffusion equation
Minghua Chen, Weihua Deng
Space fractional convection diffusion equation describes physical phenomena where particles or energy (or other physical quantities) are transferred inside a physical system due to…
Efficient numerical algorithms for three-dimensional fractional partial differential equations
Weihua Deng, Minghua Chen
This paper detailedly discusses the locally one-dimensional numerical methods for efficiently solving the three-dimensional fractional partial differential equations, including fra…
Second-order LOD multigrid method for multidimensional Riesz fractional diffusion equation
Minghua Chen, Yantao Wang, Xiao Cheng +1
We propose a locally one dimensional (LOD) finite difference method for multidimensional Riesz fractional diffusion equation with variable coefficients on a finite domain. The nume…