计算力学学报2017，Vol.34Issue(5)：597-602,6.DOI:10.7511/jslx201705010
基于微分求积法的边界值方法
The formulation of the boundary value methods via differential quadrature
摘要
Abstract
This paper mainly explores the relationship between boundary value method and differential quadrature method .By using the classical differential quadrature formulae ,this paper systematically constructs three different types of boundary value methods .When selecting the uniform grid points ,the boundary value methods derived from this paper are consistent with the existing boundary value methods .The obtained results reveal the intrinsic relationship between the differential quadrature methods and boundary value methods ,and meanwhile arrive at the relation between linear multistep formulae and single-step multi-stage methods .关键词
线性多步法/边界值方法/微分求积法/网格/数值稳定性Key words
linear multistep algorithem/boundary value method/differential quadrature method/grids/numerical stability分类
数理科学引用本文复制引用
汪芳宗,王永,杨萌..基于微分求积法的边界值方法[J].计算力学学报,2017,34(5):597-602,6.基金项目
国家自然科学基金(51377098 )资助项目 . （51377098 ）
