双比例延迟微分方程配置法的可达阶  

THE ATTAINABLE ORDER OF THE COLLOCATION METHOD FOR DOUBLE-PANTOGRAPH DELAY DIFFERENTIAL EQUATION

作　　者：赵景军[1] 徐阳[1] 乔玉龙[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《高等学校计算数学学报》2005年第4期297-308,共12页Numerical Mathematics A Journal of Chinese Universities

基　　金：本文由国家自然科学基金资助(10271036)

摘　　要：1引言 近几十年来,随着延迟微分方程广泛应用于变量测试、信号传递、机械化工、生命科学及经济管理系统等实际中,人们对此类方程的数值计算要求越来越高.This paper deals with the differential equations with double- pantograph delay. We prove the existence of collocation solution and study the Padé approximation of the analytic solution and its existence. In our consideration, we fiud that the relation between the collocation method and the Padé approximation is determined by multi-integration of the collocation polynomial. The determined method of the collocation polynomial is given out. A numerical experiment is presented to verify the main result that the attainable order of the collocation method is 2m ＋ 1.

关 键 词：比例延迟微分方程 配置法 信号传递 管理系统 生命科学 数值计算 

分 类 号：O175.13[理学—数学] O241.83[理学—基础数学]