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一类刚性常微分方程组初值问题中Gear算法的应用 被引量:2

THE APPLICATION OF GEAR′S ALGORITHM TO A SORT OF STIFF ORDINARY DIFFERENTIAL SIMULTANEOUS EQUATION
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摘要 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 . 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.
出处 《内蒙古工业大学学报(自然科学版)》 2000年第3期166-171,共6页 Journal of Inner Mongolia University of Technology:Natural Science Edition
基金 国家自然科学基金资助项目!( 1 94 82 0 0 4 )
关键词 刚性常微分方程组 Gear算法 线圈炮 stiff ordinary differential equation Gear′s algorithm coilgun
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