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

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1417591 ◽

2018 ◽

Vol 95 (6-7) ◽

pp. 1308-1325 ◽

Author(s):

Shengyue Li ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Spectral Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Time-stepping discontinuous Galerkin approximation of optimal control problem governed by time fractional diffusion equation

Numerical Algorithms ◽

10.1007/s11075-017-0445-3 ◽

2017 ◽

Vol 79 (2) ◽

pp. 437-455 ◽

Author(s):

Zhaojie Zhou ◽

Chenyang Zhang

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Stepping ◽

Time Fractional Diffusion Equation

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Pseudo-Spectral Method for Space Fractional Diffusion Equation

Applied Mathematics ◽

10.4236/am.2013.411202 ◽

2013 ◽

Vol 04 (11) ◽

pp. 1495-1502 ◽

Author(s):

Yiting Huang ◽

Minling Zheng

Keyword(s):

Diffusion Equation ◽

Spectral Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Space Fractional Diffusion Equation ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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Error estimate for indirect spectral approximation of optimal control problem governed by fractional diffusion equation with variable diffusivity coefficient

Applied Numerical Mathematics ◽

10.1016/j.apnum.2021.07.021 ◽

2021 ◽

Author(s):

Fangyuan Wang ◽

Xiangcheng Zheng ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Error Estimate ◽

Control Problem ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Diffusivity Coefficient ◽

Spectral Approximation ◽

Variable Diffusivity

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Real Time Trajectory Optimization of L1 Optimal Control Problem using Gauss-Pseudo-spectral Method

IFAC-PapersOnLine ◽

10.1016/j.ifacol.2020.06.044 ◽

2020 ◽

Vol 53 (1) ◽

pp. 258-265

Author(s):

Saban S ◽

Shriram Swaminathan

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Real Time ◽

Spectral Method ◽

Trajectory Optimization ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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On spectral Petrov-Galerkin method for solving optimal control problem governed by a two-sided fractional diffusion equation

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.12.020 ◽

2022 ◽

Vol 107 ◽

pp. 104-116

Author(s):

Shengyue Li ◽

Wanrong Cao ◽

Yibo Wang

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Galerkin Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation

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Direct pseudo-spectral method for optimal control of obstacle problem - an optimal control problem governed by elliptic variational inequality

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4366 ◽

2017 ◽

Author(s):

M. Khaksar-e Oshagh ◽

M. Shamsi

Keyword(s):

Optimal Control ◽

Variational Inequality ◽

Optimal Control Problem ◽

Control Problem ◽

Spectral Method ◽

Obstacle Problem ◽

Elliptic Variational Inequality ◽

Pseudo Spectral Method ◽

Pseudo Spectral

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A Spectral Method for Optimal Control Problems Governed by the Time Fractional Diffusion Equation with Control Constraints

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 ◽

10.1007/978-3-319-01601-6_33 ◽

2013 ◽

pp. 403-414 ◽

Author(s):

Xingyang Ye ◽

Chuanju Xu

Keyword(s):

Optimal Control ◽

Diffusion Equation ◽

Spectral Method ◽

Optimal Control Problems ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Control Problems ◽

Control Constraints ◽

Time Fractional Diffusion Equation

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

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.01.018 ◽

2019 ◽

Vol 350 ◽

pp. 331-347

Author(s):

Shengyue Li ◽

Zhaojie Zhou

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Diffusion Equation ◽

Control Problem ◽

Collocation Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Spectral Collocation Method ◽

Spectral Collocation ◽

Space Fractional Diffusion Equation

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

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2015.11.014 ◽

2016 ◽

Vol 71 (1) ◽

pp. 301-318 ◽

Author(s):

Zhaojie Zhou ◽

Wei Gong

Keyword(s):

Optimal Control ◽

Finite Element ◽

Diffusion Equation ◽

Optimal Control Problems ◽

Finite Element Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Control Problems ◽

Element Approximation ◽

Time Fractional Diffusion Equation

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A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation

International Journal of Computer Mathematics ◽

10.1080/00207160.2014.915962 ◽

2014 ◽

Vol 92 (5) ◽

pp. 980-994 ◽

Author(s):

Shahrokh Esmaeili ◽

Roberto Garrappa

Keyword(s):

Approximate Solution ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

Pseudo Spectral

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