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Num. Meth. Prog., 2019, Volume 20, Issue 3, Pages 323–336 (Mi vmp969)  

A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches

V. A. Vasil'chenko, M. O. Korpusov, D. V. Lukyanenko, A. A. Panin

Faculty of Physics, Lomonosov Moscow State University

Abstract: The blow-up of solutions is analytically and numerically studied for a certain Sobolev-type equation describing processes in varicap-based electrical networks. The energy method is used for the analytical study. For the numerical analysis, the original partial differential equation is approximated using a system of ordinary differential equations solved by the one-stage Rosenbrock scheme with a complex coefficient. The numerical diagnostics of solutions blow-up is based on a posteriori asymptotically exact error estimation on sequentially condensed grids.

Keywords: Sobolev-type equation, numerical diagnostics of solutions blow-up.

DOI: https://doi.org/10.26089/NumMet.v20r328

Full text: PDF file (372 kB)

UDC: 519.6
Received: 06.07.2019

Citation: V. A. Vasil'chenko, M. O. Korpusov, D. V. Lukyanenko, A. A. Panin, “A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches”, Num. Meth. Prog., 20:3 (2019), 323–336

Citation in format AMSBIB
\Bibitem{VasKorLuk19}
\by V.~A.~Vasil'chenko, M.~O.~Korpusov, D.~V.~Lukyanenko, A.~A.~Panin
\paper A study of self-oscillation instability in varicap-based electrical networks: analytical and numerical approaches
\jour Num. Meth. Prog.
\yr 2019
\vol 20
\issue 3
\pages 323--336
\mathnet{http://mi.mathnet.ru/vmp969}
\crossref{https://doi.org/10.26089/NumMet.v20r328}
\elib{https://elibrary.ru/item.asp?id=39540785}


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