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.
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页数：7
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