摘要
插值矩阵法是求解多点边值问题的数值法。本文给出的该法的误差分析,论证了插值矩阵法解得的y(x),y′(x),…,y^((m))(x)有相同的精度,并对二阶方程,给出该法的稳定性证明和收敛阶。
Interpolating matrix method is a numerical method for solving multi-point boundary value problems. This paper provides the error analysis of the method, proving the same precision for the solutions y(x), y'(x), ..., y (m) (x)obtained by the method. Author gives the convergence order estimate and proves good stability property of the method the second order scalar equations.
出处
《计算物理》
CSCD
北大核心
1993年第3期336-344,共9页
Chinese Journal of Computational Physics
关键词
边值问题
数值解
误差分析
插值法
multi-point BVP, numerical solution, interpolating matrix method, error analysis.
