Geodesic
Numerical solution of optimal control problem for the model of linear waves in plasma
Journal of computational and engineering mathematics, Tome 6 (2019) no. 4, pp. 69-78.

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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. 
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     author = {A. A. Zamyshlyaeva and O. N. Tsyplenkova},
     title = {Numerical solution of optimal control problem for the model of linear waves in plasma},
     journal = {Journal of computational and engineering mathematics},
     pages = {69--78},
     publisher = {mathdoc},
     volume = {6},
     number = {4},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JCEM_2019_6_4_a5/}
}
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A. A. Zamyshlyaeva; O. N. Tsyplenkova. Numerical solution of optimal control problem for the model of linear waves in plasma. Journal of computational and engineering mathematics, Tome 6 (2019) no. 4, pp. 69-78. http://geodesic.mathdoc.fr/item/JCEM_2019_6_4_a5/