TITLE:
Finite Element Solution of a Problem for Gravity Gyroscopic Equation in the Time Domain
AUTHORS:
Mikhail Nikolayevich Moskalkov, Dauletbay Utebaev
KEYWORDS:
Finite Element Method, Difference Scheme, Error Estimate, Gravity-Gyroscopic Waves
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.8,
May
5,
2014
ABSTRACT:
To solve the
equation for gravity-gyroscopic waves in a rectangular domain, the
distinguished algorithm for the solution of the Cauchy problem for a
second-order transient equation is proposed. This algorithm is developed by
using the time-varying finite element method. The space derivatives in the
gravity-gyroscopic wave equation are approximated with finite differences. The
stability and accuracy of the method are estimated. The procedure for the
implementation of the method is developed. The calculations were performed
for determining the steady-state modes of fluctuations of the solutions of the
gravity-gyroscopic wave equation depending on the problem parameters.