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N.T. OrumbayevaUniversity of the name of academician E.A. Buketov, Karaganda, KazakhstanM OtelbayevLomonosov Moscow State University, Kazakhstan Branch, Astana, Kazakhstan;Ualbai UmirbaevBulletin of the Karaganda University Bulletin of the Karaganda UniversityMakhmud A. SadybekovKaragandy University of the name of academician E.A. Buketov, Karaganda, KazakhstanА. А. Шкаликов-math. sciences, Gumilyov ENU,H. AkçaUniversity of the name of academician E.A. Buketov, Karaganda, KazakhstanГ. АкишевCandidate of Physics and Mathematics SciencesAllaberen AshyralyevKaragandy University of the name of academician E.A. Buketov, Karaganda, KazakhstanA. T. AssanovaKaragandy University of the name of academician E.A. Buketov, Karaganda, KazakhstanT BekjanBulletin of the Karaganda UniversityN BokaevCandidate of Physics and Mathematics SciencesК.Т. Искаков-math. sciences, Gumilyov ENU,Muvasharkhan JenaliyevBulletin of the Karaganda UniversityM.T. KosmakovaCandidate of Physics and Mathematics SciencesL KusainovaUniversity of the name of academician E.A. Buketov, Karaganda, KazakhstanV Mityushev-math. sciences, Gumilyov ENU,A MorozovKaragandy University of the name of academician E.A. Buketov, Karaganda, KazakhstanЕрлан НурсултановBulletin of the Karaganda UniversityB PoizatCandidate of Physics and Mathematics SciencesA Pskhu-math. sciences, Gumilyov ENU,M.I. RamazanovUniversity of the name of academician E.A. Buketov, Karaganda, KazakhstanA SarsenbiCandidate of Physics and Mathematics SciencesE SmailovBulletin of the Karaganda University Bulletin of the Karaganda UniversityB KhBulletin of the Karaganda UniversityA TurmetovBulletin of the Karaganda UniversityT YeshkeyevKaragandy University of the name of academician E.A. Buketov, Karaganda, KazakhstanAcademician YuldashevBulletin of the Karaganda UniversityNas OfBulletin of the Karaganda University Bulletin of the Karaganda UniversityМерсаид АриповAl-Farabi Kazakh National University, Almaty, Kazakhstan;Dauletbay UtebaevAl-Farabi Kazakh National University, Almaty, Kazakhstan;Zh. A. NurullaevAlanya Alaaddin Keykubat University, Antalya, TurkeyН. АтаханAl-Farabi Kazakh National University, Almaty, Kazakhstan;K NurpeissovAl-Farabi Kazakh National University, Almaty, Kazakhstan;K.T. KonisbayevaAlanya Alaaddin Keykubat University, Antalya, TurkeyKuanysh A. BekmaganbetovAl-Farabi Kazakh National University, Almaty, Kazakhstan;K YeAl-Farabi Kazakh National University, Almaty, Kazakhstan;Y. ToleugazyInstitute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan;M.J. HuntulKaragandy University of the name of academician E.A. Buketov, Karaganda, Kazakhstanİbrahim TekinAl-Farabi Kazakh National University, Almaty, Kazakhstan;K.A. IzhanovaAl-Farabi Kazakh National University, Almaty, Kazakhstan;A Khamzeyeva KaragandyAl-Farabi Kazakh National University, Almaty, Kazakhstan;A.R. YeshkeyevCandidate of Physics and Mathematics SciencesI.O. Tungushbayeva-math. sciences, Gumilyov ENU,S Amanbekov KaragandyBulletin of the Karaganda UniversityI TungushbayevaA ZamyshlyaevaD UtebaevAlanya Alaaddin Keykubat University, Antalya, TurkeyA SamarskiiG SviridyukA SveshnikovA AlshinM KorpusovPletnerIuV BulatovVladimirovA MuravyevO TsyplenkovaM MoskalkovV ButuzovA NakhushevD DzhumabaevA KheloufiB SadallahS CherfaouiA KessabB.-K SadallahR ChapkoB JohanssonV VavrychukY WangJ HuangX WenR DehbozorgiK NedaiaslM RamazanovM KosmakovaZh TuleutaevaN GulmanovM Jenaliyev

BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICSjournal2022

ABI

Аннотация

On the convergence of difference schemes of high accuracy for the equation of ion-acoustic waves in a magnetized plasmaMultiparametric difference schemes of the finite element method of a high order of accuracy for the Sobolevtype equation of the fourth-order in time are studied.In particular, the first boundary value problem for the equation of ion-acoustic waves in a magnetized plasma is considered.A high-order accuracy of the scheme is achieved due to the special discretization of time and space variables.The presence of parameters in the scheme makes it possible to regularize the accuracy of the schemes and optimize the implementation algorithm.An a priori estimate in a weak norm is obtained by the method of energy inequality.Based on this estimate and the Bramble-Hilbert lemma, the convergence of the constructed algorithms in classes of generalized solutions is proved.An algorithm for implementing the difference scheme is proposed.

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Идентификаторы

DOI: 10.31489/2518-7929/2022-108-4

Цитирования и источники

Цитирований: 0Использованных источников: 120

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