摘要
本文发展了一种解恒星线性非绝热非径向脉动问题的退耦化方法。这个方法把非绝热非径向脉动问题的六阶线性微分方程,分解为由一个代数方程联系起来的一个四阶线性微分方程和另一个二阶线性微分方程进行数值求解。这样的一个退耦处理,有利于克服以前在数值解这类问题时常常遇到的收敛域小和收敛速度慢等困难,并且为数值解方程时所采用的Henyey方法提供了一个自然和方便的初始猜测解。
In this paper, we develope a decoupling method to deal with linear nonadiabatic non-radial pulsations of stars. We decompose the sixth order differential equations of linear nonadiabatic nonradial pulsation into a fourth order differential equation and a second order differential equation. These two equations are linked by an algebraic equation. The decoupling treatment overcomes such difficulties as small domain and slow speed of convergence encountered in numerically solving the differential equations of the problem, and naturally provides a guess solution which is needed in Henyey method.
关键词
恒星
脉动
脉动理论
Stars: pulsation-Pulsation theory