Comparative analysis by means of finite differences and DM methods for linearized problem of gyrotrons
Abstract
The problem of Schrödinger equation with complex boundary conditions for modelling a motion of electrons in gyrotrons is considered. Numerical results obtained by using Fourier, Finite Differences (FD) and Degenerate Matrices (DM) methods are compared in the simplest case. For DM methods they are analysed also in more general cases, when FD can not be applied because of fast oscillations of the solution.
Baigtinių skirtumų ir DM metodo lygiamoji analizė linearizuotam girotrono uždaviniui
Santrauka. Nagrinėjamas kraštinis uždavinys Šredingerio lygčiai, aprašantis elektronų judėjimą girotrone. Darbe lyginami ir analizuojami Furje, baigtinių skirtumų ir degeneruotų matricų (DM) metodais gauti skaitiniai rezultatai. Aptartas metodo taikymas greitų osciliacijų atvėju.
First Published Online: 14 Oct 2010
Keywords:
gyrotron, Schrödinger equation, complex boundary conditions, Fourier method, finite differences, degenerate matrices methodHow to Cite
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Copyright (c) 2004 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2004 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.