Convergence of Runge-Kutta methods for neutral Volterra delay-integro-differential equations

被引：22

作者：

Wang, Wansheng ^{[1
]}

Li, Shoufu ^{[2
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Computat Sci, Changsha 410004, Hunan, Peoples R China

[2] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2009年 / 4卷 / 01期

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

Neutral differential equation; Volterra delay-integro-differential equation; Runge-Kutta method; convergence; INTEGRODIFFERENTIAL EQUATIONS; B-THEORY; STABILITY; ORDER;

D O I：

10.1007/s11464-009-0021-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we focus on the error behavior of Runge-Kutta methods for nonlinear neutral Volterra delay-integro-differential equations (NVDIDEs) with constant delay. The convergence properties of the Runge-Kutta methods with two classes of quadrature technique, compound quadrature rule and Pouzet type quadrature technique, are investigated.

引用

页码：195 / 216

页数：22

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