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Journal of Computational and Engineering Mathematics, 2019, Volume 6, Issue 4, Pages 69–78
DOI: https://doi.org/10.14529/jcem190406 (Mi jcem159) 		 
Computational Mathematics

Numerical solution of optimal control problem for the model of linear waves in plasma

A. A. Zamyshlyaeva, O. N. Tsyplenkova

South Ural State University, Chelyabinsk, Russian Federation
Full-text PDF (792 kB)
DOI: https://doi.org/10.14529/jcem190406
Abstract: The article considers the optimal control in the mathematical model of ion-acoustic waves in plazma in an external magnetic field. For this model, on the basis of theoretical results, an algorithm for numerical solution was developed based on the modified Galerkin method and the Ritz method. The algorithm was implemented in Maple. Using the developed program, the result of a computational experiment is presented. The mathematical model considered in the article was first obtained by Yu.D. Pletner.
Keywords: Sobolev type equations of higher order, model of linear waves in plasma, optimal control, Galerkin method, numerical solution.
Received: 05.10.2019
Document Type: Article
UDC: 517.9
MSC: 35Q93, 34H05
Language: English
Citation: A. A. Zamyshlyaeva, O. N. Tsyplenkova, “Numerical solution of optimal control problem for the model of linear waves in plasma”, J. Comp. Eng. Math., 6:4 (2019), 69–78
Citation in format AMSBIB
\Bibitem{ZamTsy19}
\by A.~A.~Zamyshlyaeva, O. N. Tsyplenkova
\paper Numerical solution of optimal control problem for the model of linear waves in plasma
\jour J. Comp. Eng. Math.
\yr 2019
\vol 6
\issue 4
\pages 69--78
\mathnet{http://mi.mathnet.ru/jcem159}
\crossref{https://doi.org/10.14529/jcem190406}
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