Regularity of the solution to fractional diffusion, advection, reaction equations in weighted Sobolev spaces
VJ Ervin - Journal of Differential Equations, 2021 - Elsevier
In this article we investigate the regularity of the solution to the fractional diffusion, advection,
reaction equation on a bounded domain in R 1. The analysis is performed in the weighted …
reaction equation on a bounded domain in R 1. The analysis is performed in the weighted …
A spectral Galerkin approximation of optimal control problem governed by fractional advection–diffusion–reaction equations
F Wang, Z Zhang, Z Zhou - Journal of Computational and Applied …, 2021 - Elsevier
A spectral Galerkin approximation of a optimal control problem governed by a fractional
advection–diffusion–reaction equation with integral fractional Laplacian is investigated in …
advection–diffusion–reaction equation with integral fractional Laplacian is investigated in …
On spectral Petrov–Galerkin method for solving optimal control problem governed by fractional diffusion equations with fractional noise
S Li, W Cao - Journal of Scientific Computing, 2023 - Springer
In this paper, a spectral Petrov–Galerkin method is developed to solve an optimal control
problem governed by a two-sided space-fractional diffusion-reaction equation with additive …
problem governed by a two-sided space-fractional diffusion-reaction equation with additive …
Optimal Petrov–Galerkin spectral approximation method for the fractional diffusion, advection, reaction equation on a bounded interval
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 …
advection, reaction equation on a bounded interval. Recently the explicit form of the solution …
Sharp error estimates of a spectral Galerkin method for a diffusion-reaction equation with integral fractional Laplacian on a disk
We investigate a spectral Galerkin method for the two-dimensional fractional diffusion-
reaction equations on a disk. We first prove regularity estimates of solutions in the weighted …
reaction equations on a disk. We first prove regularity estimates of solutions in the weighted …
Numerical correction of finite difference solution for two-dimensional space-fractional diffusion equations with boundary singularity
In this paper, an efficient algorithm is presented by adopting the extrapolation technique to
improve the accuracy of finite difference schemes for two-dimensional space-fractional …
improve the accuracy of finite difference schemes for two-dimensional space-fractional …
Analysis and Petrov–Galerkin numerical approximation for variable coefficient two-sided fractional diffusion, advection, reaction equations
In this paper we investigate the variable coefficient two-sided fractional diffusion, advection,
reaction equations on a bounded interval. It is known that the fractional diffusion operator …
reaction equations on a bounded interval. It is known that the fractional diffusion operator …
On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation
S Li, W Cao, Y Wang - Computers & Mathematics with Applications, 2022 - Elsevier
In this paper, we investigate a spectral Petrov-Galerkin method for an optimal control
problem governed by a two-sided space-fractional diffusion-advection-reaction equation …
problem governed by a two-sided space-fractional diffusion-advection-reaction equation …
Fast spectral Petrov-Galerkin method for fractional elliptic equations
In this work, we revisit the spectral Petrov-Galerkin method for fractional elliptic equations
with the general fractional operators. To prove the optimal convergence of the method, we …
with the general fractional operators. To prove the optimal convergence of the method, we …
Regularity of the solution to fractional diffusion, advection, reaction equations
VJ Ervin - arXiv preprint arXiv:1911.03261, 2019 - arxiv.org
In this report we investigate the regularity of the solution to the fractional diffusion, advection,
reaction equation on a bounded domain in $\mathbb {R}^{1} $. The analysis is performed in …
reaction equation on a bounded domain in $\mathbb {R}^{1} $. The analysis is performed in …