The computational approach for optimal control problems of parabolic systems
type: Item
instance of: scholarly article
title: The computational approach for optimal control problems of parabolic systems
zbMATH Open document ID: 0905.49016
author: T. M. El-Gindy
author: H. M. El-Hawary
author: M. S. Salim
author: M. El-Kady
published in: Journal of the Egyptian Mathematical Society
publication date: 1999-01-11T00:00:00Z
review text: The authors consider a linear-quadratic optimal control problem for the heat equation. They approximate the solution of the heat equation by a finite series expansion and the control by a linear combination of Chebyshev polynomials. In a numerical example, they present the solution of the resulting finite dimensional problem and compare it to previous work by Di Pillo and Grippo.
Mathematics Subject Classification ID: 49N10
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 65M70
zbMATH DE Number: 1005382
zbMATH Keywords: linear-quadratic problem
zbMATH Keywords: heat equation
zbMATH Keywords: optimal control
zbMATH Keywords: Chebyshev polynomials
reviewed by: Martin Brokate
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1005382