| 微分方程右函数间断及其处理方法 |
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| 引用本文： | 刘德贵,汤铭端,冯晶.微分方程右函数间断及其处理方法[J].计算数学,1991,13(3):315-326. |
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| 作者姓名： | 刘德贵 汤铭端 冯晶 |
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| 作者单位： | 北京计算机应用和仿真技术研究所
(刘德贵，汤铭端)，北京计算机应用和仿真技术研究所(冯晶) |
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| 摘 要： | §1.引言 现代电气、化工、生物工程和航天飞行器、航空飞行器、核反应工程等都是复杂的系统工程.在这类工程的科学研究和工程设计中,经常需要用常微分方程组的初值问题来建立系统运动行为的数学模型.为了获得研究和设计的数据,需要进行科学工程计算和动
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| 关 键 词： | 微分方程 右函数 条件函数 间断 |
DISCONTINUITIES OF RIGHT-HAND FUNCTIONS IN DIFFERENTIAL EQUATIONS AND THEIR TRATEMENT |
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| Institution: | Liu De-gui;Tang Ming-duan;Feng Jing Beijing Institute of Computer Application and Simulation Technology |
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| Abstract: | Abstract In this paper the relationship between discontinuities for the solution ofordinary differential equations and that for condition functions are discussed. Theconception and method of extension processing for discontinuities are presented. It isproved that the zero of a condition function with extension processing is the zeroof the condition function, which is a discontinuity point. The algorithms of proces-sing discontinuities are constructed, and numerical experiments show that the algorit-hms are efficient. |
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