Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation

S Li, Z Zhou - International Journal of Computer Mathematics, 2018 - Taylor & Francis
This paper presents a numerical scheme for optimal control problem governed by a time-
fractional diffusion equation based on a Legendre pseudo-spectral method for space …

A space–time pseudospectral discretization method for solving diffusion optimal control problems with two-sided fractional derivatives

MS Ali, M Shamsi, H Khosravian-Arab… - Journal of Vibration …, 2019 - journals.sagepub.com
We propose a direct numerical method for the solution of an optimal control problem
governed by a two-side space-fractional diffusion equation. The presented method contains …

A spectral method for optimal control problems governed by the time fractional diffusion equation with control constraints

X Ye, C Xu - Spectral and High Order Methods for Partial Differential …, 2013 - Springer
In this paper, we study the fractional optimal control problem and its spectral approximation.
The problem under investigation consists in finding the optimal solution governed by the …

A space-time spectral method for the time fractional diffusion optimal control problems

X Ye, C Xu - Advances in Difference Equations, 2015 - Springer
In this paper, we study the Galerkin spectral approximation to an unconstrained convex
distributed optimal control problem governed by the time fractional diffusion equation. We …

Fractional spectral collocation method for optimal control problem governed by space fractional diffusion equation

S Li, Z Zhou - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we mainly investigate the fractional spectral collocation discretization of
optimal control problem governed by a space-fractional diffusion equation. Existence and …

Error analysis of spectral approximation for space–time fractional optimal control problems with control and state constraints

Y Chen, X Lin, Y Huang - Journal of Computational and Applied …, 2022 - Elsevier
In this paper, spectral discretization of optimal control problem governed by the space–time
fractional diffusion equation with integral control and state constraints is investigated. The …

Fractional Chebyshev pseudospectral method for fractional optimal control problems

M Habibli, MH Noori Skandari - Optimal Control Applications …, 2019 - Wiley Online Library
In this paper, we introduce and apply a fractional pseudospectral method for indirectly
solving a generic form of fractional optimal control problems. By employing the fractional …

[HTML][HTML] Finite element approximation of optimal control problems governed by time fractional diffusion equation

Z Zhou, W Gong - Computers & Mathematics with Applications, 2016 - Elsevier
In this paper Galerkin finite element approximation of optimal control problems governed by
time fractional diffusion equations is investigated. Piecewise linear polynomials are used to …

A posteriori error estimates of spectral method for the fractional optimal control problems with non-homogeneous initial conditions.

X Ye, C Xu - AIMS Mathematics, 2021 - go.gale.com
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 …

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 …