Year: 2004
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 633–640
Abstract
This paper presents the stability of difference approximations of an optimal control problem for a quasilinear parabolic equation with controls in the coefficients, boundary conditions and additional restrictions. The optimal control problem has been converted to one of the optimization problem using a penalty function technique. The difference approximations problem for the considered problem is obtained. The estimations of stability of the solution of difference approximations problem are proved. The stability estimation of the solution of difference approximations problem by the controls is obtained.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2004-JCM-8862
Journal of Computational Mathematics, Vol. 22 (2004), Iss. 5 : pp. 633–640
Published online: 2004-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Optimal control Quasilinear Parabolic equations Penalty function methods Finite difference method Stability estimations.