两点边值问题的叠样条配置及渐近展式

THE SPLINE-ON-SPLINE COLLOCATION SCHEME AND ASYMPTOTIC EXPANSION FOR TWO POINTS BOUNDARY PROBLEM

本文给出了非线性两点边值问题的叠三次样条配置格式，证明了其误差阶达到Ｏ（ｈ４）精度，并给出了误差的渐近展开．

In this paper, We discuss a class of nonlinear two point boundary problems.and give the cubic Spline-on-spline collocation scheme.Then we prove the error bound 0(h4) and obtain its asymptotic erpansion.