Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method
type: Item
instance of: scholarly article
title: Optimal control of a parabolic distributed parameter system using a fully exponentially convergent barycentric shifted Gegenbauer integral pseudospectral method
zbMATH Open document ID: 1412.65014
author: K. T. Elgindy
published in: Journal of Industrial and Management Optimization
publication date: 2019-02-05T00:00:00Z
Mathematics Subject Classification ID: 65D30
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 90-08
Mathematics Subject Classification ID: 49J20
zbMATH DE Number: 7012486
zbMATH Keywords: Barycentric interpolation
zbMATH Keywords: integration matrix
zbMATH Keywords: optimal control
zbMATH Keywords: pseudospectral method
zbMATH Keywords: shifted Gegenbauer polynomial
zbMATH Keywords: shifted Gegenbauer quadrature
describes a project that uses: Matlab
describes a project that uses: GPOPS
MaRDI profile type: Publication
full work available at URL: jimo.2017056
OpenAlex ID: W2706066570
cites work: Sharp upper and lower bounds for the gamma function
cites work: Distributed parameters deterministic model for treatment of brain tumors using Galerkin finite element method
cites work: Solution of two-point-boundary-value problems by generalized orthogonal polynomials and application to optimal control of lumped and distributed parameter systems
cites work: Q4982868
cites work: GEGENBAUER COLLOCATION INTEGRATION METHODS: ADVANCES IN COMPUTATIONAL OPTIMAL CONTROL THEORY
cites work: High-order adaptive Gegenbauer integral spectral element method for solving non-linear optimal control problems
cites work: High-order numerical solution of second-order one-dimensional hyperbolic telegraph equation using a shifted Gegenbauer pseudospectral method
cites work: High-order, stable, and efficient pseudospectral method using barycentric Gegenbauer quadratures
cites work: Fast, accurate, and small-scale direct trajectory optimization using a Gegenbauer transcription method
cites work: Optimal Gegenbauer quadrature over arbitrary integration nodes
cites work: A modified tau spectral method that eliminates spurious eigenvalues
cites work: Application of shifted Chebyshev series to the optimal control of linear distributed-parameter systems
cites work: Solution of optimal control problem of linear diffusion equations via Walsh functions
cites work: GPOPS-II
cites work: Optimal control of a parabolic distributed parameter system via radial basis functions
cites work: Q4169836
cites work: Spectral Methods in MATLAB
cites work: Optimal Control of Linear Distributed Parameter Systems by Shifted Legendre Polynomial Functions
cites work: Application of single-step method of block-pulse functions to the optimal control of linear distributed-parameter systems
DOI: 10.3934/JIMO.2017056
description: scientific article; zbMATH DE number 7012486