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