A posteriori error estimates of spectral method for the fractional optimal control problems with non-homogeneous initial conditions
In this paper we consider an optimal control problem governed by a space-time fractional diffusion equation with non-homogeneous initial conditions. A spectral method is proposed to discretize the problem in both time and space directions. The contribution of the paper is threefold: (1) A discussion...
Main Authors: | Xingyang Ye, Chuanju Xu |
---|---|
Format: | Article |
Language: | English |
Published: |
AIMS Press
2021-08-01
|
Series: | AIMS Mathematics |
Subjects: | |
Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021697?viewType=HTML |
Similar Items
-
The a posteriori error estimate in fractional differential equations using generalized Jacobi functions
by: Bo Tang, et al.
Published: (2023-10-01) -
A posteriori error estimates of hp spectral element method for parabolic optimal control problems
by: Zuliang Lu, et al.
Published: (2022-01-01) -
A posteriori error estimates of spectral method for nonlinear parabolic optimal control problem
by: Lin Li, et al.
Published: (2018-06-01) -
A posteriori grid method for a time-fractional Black-Scholes equation
by: Zhongdi Cen, et al.
Published: (2022-12-01) -
A Posteriori Error Estimators for the Quasi-Newtonian Stokes Problem with a General Boundary Condition
by: Omar El Moutea, et al.
Published: (2023-04-01)