摘要
用待定系数法构造了求解一维热传导方程的一族高精度隐式格式.格式的截断误差达到O(τ3+h6).证明了当r<√5/10时,差分格式是稳定的.通过数值试验,比较了差分格式的解和精确解的区别,说明了差分格式的有效性.
This paper presents a class of implicit difference schemes with high accuracy for solving one-dimension heat conduction equation by the method of undetermined parameters.The truncation error of the schemes is O(τ3+h6).The difference schemes are proved to be stable if r<√5/10.The numerical experiment shows the numerical solutions of difference schemes and the precise solutions are matched and the difference schemes are effective.
作者
詹涌强
凌婷
ZHAN Yong-qiang;LING Ting(Department of Mathematics Teaching and Research, Guangdong Communication Polytechnic College, Guangzhou 510800, China)
出处
《西南师范大学学报（自然科学版）》
CAS
北大核心
2020年第11期1-5,共5页
Journal of Southwest China Normal University(Natural Science Edition)
基金
国家自然科学基金项目(61070165).
关键词
一维热传导方程
隐式差分格式
截断误差
one-dimensional heat conduction equation
implicit difference schemes
truncation error
