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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
 and 
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
  
Sep 23, 2017
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Published Online: Sep 23, 2017
Page range: 457 - 465
Received: Nov 30, 2016
Accepted: May 04, 2017
DOI: https://doi.org/10.1515/amcs-2017-0031
Keywords
© 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.

Language:
English
Publication timeframe:
4 times per year
Journal Subjects:
Mathematics, Applied Mathematics
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