1阶自忆模式的稳定性研究

STUDY ON STABILITY OF THE SELF-MEMORY MODEL WITH RETROSPECTIVE TIME ONE-ORDER

大气运动是一种不可逆过程 ,引进了忆及过去时次资料的记忆函数 ,导出热传导的自忆性方程 ,研究了方程取 Du Fort Frankel格式 ,回溯阶 p取 1时的稳定性 ,解决了多时刻模式中数值积分有时发散的问题 ,改变了原定设计的差分格式 ,记忆函数的引入在差分格式中起到时间平滑因子的作用 .

In view of the fact that the atmospheric motion is an irreversible process, a memory function which can recall observational data in the past is suggested, and derived heat\|conductive self\|memory equation. The stability of equation is disused as retrospective time obtained 1 ( p =1), which shows that memory function obtained by least square method varies the principle difference formula.