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

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

Authors

  • V.A. Vasilchenko
  • M.O. Korpusov
  • D.V. Lukyanenko
  • A.A. Panin

Keywords:

Sobolev-type equation
numerical diagnostics of solution’s blow-up

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 solution’s blow-up is based on a posteriori asymptotically exact error estimation on sequentially condensed grids.

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Published

2019-08-27

Issue

Vol. 20 (2019): Issue 3.

Section

Section 1. Numerical methods and applications

Author Biographies

V.A. Vasilchenko

Lomonosov Moscow State University,
Faculty of Physics
• Student

M.O. Korpusov

Lomonosov Moscow State University,
Faculty of Physics
• Professor

D.V. Lukyanenko

Lomonosov Moscow State University,
Faculty of Physics
• Associate Professor

A.A. Panin

Lomonosov Moscow State University,
Faculty of Physics
• Associate Professor

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