Error analysis of modified Runge-Kutta-Nystrom methods for nonlinear second-order delay boundary value problems

被引：0

作者：

Zhang, Chengjian ^{[1
,2
]}

Wang, Siyi ^{[1
]}

Tang, Changyang ^{[1
]}

机构：

[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Hubei Key Lab Engn Modeling & Sci Comp, Wuhan 430074, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2023年 / 142卷

关键词：

Second-order boundary value; problems; Time-variable delay; Modified Runge-Kutta-Nystr?m; methods; Error analysis; DIFFERENTIAL-EQUATIONS; D-CONVERGENCE; STABILITY;

D O I：

10.1016/j.aml.2023.108658

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the numerical solutions of nonlinear second-order boundary value problems with time-variable delay. By adapting Runge-Kutta- Nystrom (RKN) methods and combining Lagrange interpolation, a class of modified RKN (MRKN) methods are suggested for solving the problems. Under some suitable conditions, MRKN methods are proved to be convergent of order min{p, q}, where p, q are the local orders of MRKN methods and Lagrange interpolation, respectively. Numerical experiments further confirm the computational effectiveness and accuracy of MRKN methods.(c) 2023 Elsevier Ltd. All rights reserved.

引用

页数：7

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