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On an algorithm for the problem of tracking a trajectory of a parabolic equation

Marina Blizorukova

Marina Blizorukova

  • Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of SciencesYekaterinburg, Russian Federation
  • Graduate School of Economics and Management, Ural Federal UniversityYekaterinburg, Russian Federation
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Blizorukova, Marina
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Vyacheslav Maksimov

Vyacheslav Maksimov

  • Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of SciencesYekaterinburg, Russian Federation
  • Graduate School of Economics and Management, Ural Federal UniversityYekaterinburg, Russian Federation
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Maksimov, Vyacheslav
  
23 sept. 2017
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Publié en ligne: 23 sept. 2017
Pages: 457 - 465
Reçu: 30 nov. 2016
Accepté: 04 mai 2017
DOI: https://doi.org/10.1515/amcs-2017-0031
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© 2017 Marina Blizorukova et al., published by De Gruyter Open
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

In this paper, we consider the problem of tracking a solution of a reference parabolic equation by a solution of another equation. A stable algorithm based on the extremal shift method is proposed for this problem. The algorithm is designed to work on a sufficiently large time interval where both equations operate.

Langue:
Anglais
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4 fois par an
Sujets de la revue:
Mathématiques, Mathématiques appliquées
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