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


  • V.A. Vasilchenko Lomonosov Moscow State University
  • M.O. Korpusov Lomonosov Moscow State University
  • D.V. Lukyanenko Lomonosov Moscow State University https://orcid.org/0000-0001-5140-3617
  • A.A. Panin Lomonosov Moscow State University




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


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.

Author Biographies

V.A. Vasilchenko

M.O. Korpusov

D.V. Lukyanenko

A.A. Panin


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How to Cite

Васильченко В.А., Корпусов М.О., Лукьяненко Д.В., Панин А.А. A Study of Self-Oscillation Instability in Varicap-Based Electrical Networks: Analytical and Numerical Approaches // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2019. 20. 323-336. doi 10.26089/NumMet.v20r328



Section 1. Numerical methods and applications

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