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一类变系数边值问题的样条解法
引用本文:柯云泉. 一类变系数边值问题的样条解法[J]. 绍兴文理学院学报, 1999, 0(6)
作者姓名:柯云泉
作者单位:绍兴文理学院数学系!绍兴,312000
摘    要:本文讨论了一类三阶变系数微分方程的边值问题的样条解法.构造了一个四次样条的近似解,并证明了它的唯一性和收敛性.在文末举例说明本方法是可行的.

关 键 词:变系数微分方程边值问题  样条函数  存在性  收敛性

Numerical Mathod for a Class of Variable Coefficients Boundary Value Problems by Spline Functions
Ke Yunquan. Numerical Mathod for a Class of Variable Coefficients Boundary Value Problems by Spline Functions[J]. Journal of Shaoxing College of Arts and Sciences, 1999, 0(6)
Authors:Ke Yunquan
Affiliation:Department of Mathematics
Abstract:In this paper, we consider a class of boundary value problems by Quantic spline functions. and verify its existence and convergence. In the end, we give a numerical example.
Keywords:differencial equations with variable coefficients   boundary value problems   existence spline functions   convegence
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