快速检索:      
引用本文:
【打印本页】   【下载PDF全文】   查看/发表评论  【EndNote】   【RefMan】   【BibTex】
←前一篇|后一篇→ 过刊浏览    高级检索
本文已被:浏览 81次   下载 131 本文二维码信息
码上扫一扫!
分享到: 微信 更多
谱配置法求解常微分方程初值问题的超收敛性
钱轶昀, 查媛媛, 蔡康文, 刘艳勤, 王心怡, 易利军
上海师范大学 数理学院, 上海 200234
摘要:
研究了常微分方程初值问题的谱配置方法.针对一阶和二阶线性常微分方程初值问题,基于Legendre-Gauss点提出了相应的谱配置方法,并给出了具体的计算格式.最后,通过一些数值算例探讨了所提Legendre-Gauss谱配置方法的超收敛性.
关键词:  谱配置法  初值问题  超收敛
DOI:10.3969/J.ISSN.1000-5137.2021.01.001
分类号:O241.8
基金项目:上海师范大学“大学生创新创业训练计划”资助项目
Superconvergence of spectral collocation method for initial value problem of ordinary differential equations
QIAN Yiyun, ZHA Yuanyuan, CAI Kangwen, LIU Yanqin, WANG Xinyi, YI Lijun
Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China
Abstract:
In this paper, we study the spectral collocation method for the initial value problems of ordinary differential equations. Based on Legendre-Gauss points, we propose the spectral collocation method for the initial value problems of first-order and second-order. We also give the specific computation form for our method. Finally, to explain the superconvergence properties of the Legendre-Gauss spectral collocation method. We discuss several numerical examples.
Key words:  spectral collocation method  initial value problem  superconvergence