Comparison of numerical methods for the problem arising in the gyrotron theory

Abstract

There are considered some aspects for numerical solving of problem with Robin's boundary conditions arising in the gyrotron theory. The single mode case is carefully investigated. The obtained observations make possible to offer the suitable strategy for the numerical solving of the problem for general system of nonstationary gyrotron oscillations.

Straipsnyje nagrinejami girotrono teorijos uždaviniu su Robino kraštine salyga kai kurie skaitinio sprendimo metodu aspektai. Atidžiai nagrinejamas vienos modos atvejis ir gauti pastebejimai leidžia sudaryti tinkama skaitinio šio uždavinio sprendimo strategija bendrajai girotrono lygčiu sistemai, aprašančiai jo nestacionarius virpesius.

Key words:

• finite‐difference schemes
• gyrotrons
• method of lines
• Robin's boundary conditions