内蒙古工业大学学报(自然科学版)
內矇古工業大學學報(自然科學版)
내몽고공업대학학보(자연과학판)
JOURNAL OF INNER MONGOLIA POLYTECHNIC UNIVERSITY
2000年
3期
166-171
,共6页
韦广梅%王德满%朱应敏
韋廣梅%王德滿%硃應敏
위엄매%왕덕만%주응민
刚性常微分方程组%Gear算法%线圈炮
剛性常微分方程組%Gear算法%線圈砲
강성상미분방정조%Gear산법%선권포
stiff ordinary differential equation%Gear′s algorithm%coilgun
本文以Gear算法理论为基础,将其推广为适用于变维,初始值分段加入的
一类刚性常微分方程组的数值计算,并将其应用于有前置分流回路的线圈炮系统
方程.计算结果表明,Gear算法及其推广对此类刚性常微分方程组的计算是适宜
的与有效的.
本文以Gear算法理論為基礎,將其推廣為適用于變維,初始值分段加入的
一類剛性常微分方程組的數值計算,併將其應用于有前置分流迴路的線圈砲繫統
方程.計算結果錶明,Gear算法及其推廣對此類剛性常微分方程組的計算是適宜
的與有效的.
본문이Gear산법이론위기출,장기추엄위괄용우변유,초시치분단가입적
일류강성상미분방정조적수치계산,병장기응용우유전치분류회로적선권포계통
방정.계산결과표명,Gear산법급기추엄대차류강성상미분방정조적계산시괄의
적여유효적.
In this paper,the Gear′s algorithm is applied to the calculation of a sort of stiff ordinary
differential simultaneous equation of which the dimension varies and the initial conditions are added at
different steps of the solution process. The system equation of coilguns with crowbars are solved by
use of this method. Results show that the application of the Gear′s algorithm to the calculation of this
sort of equation is appropriate and effective.