山东科学2012，Vol.25Issue(3)：80-87,8.
波动问题的高精度重心有理插值配点法
High-precison barycentric rational interpolation collocation method of wave problems
马燕 1王兆清 1唐炳涛1
作者信息
- 1. 山东建筑大学工程结构现代分析与设计研究所,山东济南250101
- 折叠
摘要
Abstract
We construct the differentiation matrices of an unknown function regarding temporal and spatial variables for the given computational nodes in temporal and spatial fields with the approaximation of barycentric rational interpolation to the function. We initially acquire discrete algebraic equations of a wave equation and its definite conditions by inserting barycentric rational interpolation of an unknown function into the governing equation of the wave equation. We then denote the discrete algebraic equations as a concise matrix with the notation of differentiation matrices. We eventually obtain the displacements of the wave equation on the nodes by replacement method and applying boundary and initial conditions. Numerical examples demonstrate that the approach has such advantages as simple computation, easy programming and high precision.关键词
波动问题/重心有理插值/微分矩阵/配点法Key words
wave motion problems barycentric rational interpolation differentiation matrix collocation method分类
通用工业技术引用本文复制引用
马燕,王兆清,唐炳涛..波动问题的高精度重心有理插值配点法[J].山东科学,2012,25(3):80-87,8.
