节点文献
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
【摘要】 <正>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.本文研究双比例延迟微分方程
【Abstract】 This paper deals with the differential equations with double-pantograph delay. We prove the existence of collocation solution and study the Pade approximation of the analytic solution and its existence. In our consideration, we find that the relation between the collocation method and the Pade 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】 delay differential equation;
collocation method;
attainable order;
【Key words】 delay differential equation; collocation method; attainable order;
【Key words】 delay differential equation; collocation method; attainable order;
【基金】 本文由国家自然科学基金资助(10271036)
- 【文献出处】 高等学校计算数学学报 ,Numerical Mathematics A Journal of Chinese Universities , 编辑部邮箱 ,2005年04期
- 【分类号】O241.8
- 【被引频次】4
- 【下载频次】130