脉冲微分方程的block-by-block方法  

Block-by-block Method of Impulsive Differential Equations

作　　者：马群长 曹俊英[1] 孙涛[2] 王自强[1] 

机构地区：[1]贵州民族大学理学院,贵州贵阳550025 [2]上海金融学院统计与数学学院,上海201209

出　　处：《河南科技大学学报（自然科学版）》2016年第2期82-87,共6页Journal of Henan University of Science And Technology:Natural Science

基　　金：国家自然科学基金项目(11426074;11501140;11401380);贵州省科技厅自然科学基金项目([2014]2098;[2013]2144);贵州省教育厅基金项目([2013]405)

摘　　要：针对脉冲微分方程初值问题,首先,将脉冲微分方程转化为等价积分方程,然后,对等价的积分方程利用block-by-block方法构造了一个高阶数值格式,并分析了该数值格式的收敛性和稳定性。数值算例验证了理论分析的正确性。To solve the initial-value problem of impulsive differential equation,the impulsive differential equation was transformed to an equivalent integral equation. Then a higher order numerical scheme for the equivalent integral equation was proposed by using the block-by-block method. And its convergence and stability were analyzed. A numerical example was carried out to verify the correctness of the theory analysis.

关 键 词：脉冲微分方程 block-by-block方法 数值格式 收敛性 稳定性分析 

分 类 号：O241.8[理学—计算数学]