5 citations · 24 across the 17 of their papers we have counts for
18 papers
A time dependent fractional order diffusion equation with constant diffusivity matrix
T. Catoe, V. J. Ervin
Of primary interest in this paper is the numerical approximation of a time dependent fractional, in space, diffusion equation where the domain is assumed to be nonhomogeneous, havi…
A generalized fractional Laplacian
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this article we show that the fractional Laplacian in can be factored into a product of the divergence operator, a Riesz potential operator, and the gradient operator. U…
Approximation of the Axisymmetric Elasticity Equations with Weak Symmetry
Alistair Bentley, V. J. Ervin
In this article we consider the linear elasticity problem in an axisymmetric three dimensional domain, with data which are axisymmetric and have zero angular component. The weak fo…
Optimal Petrov-Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this paper we investigate the numerical approximation of the fractional diffusion, advection, reaction equation on a bounded interval. Recently the explicit form of the solution…
Regularity of the solution to fractional diffusion, advection, reaction equations
V. J. Ervin
In this report we investigate the regularity of the solution to the fractional diffusion, advection, reaction equation on a bounded domain in . The analysis is perf…
Numerical approximations for the variable coefficient fractional diffusion equations with non-smooth data
Xiangcheng Zheng, V. J. Ervin, Hong Wang
In this article we study the numerical approximation of a variable coefficient fractional diffusion equation. Using a change of variable, the variable coefficient fractional diffus…