Extrapolation with Spline-Collocation Methods for Two-Point Boundary-Value Problems II: C2-Cubics with Detailed Results,

摘要

The methodology is very briefly described and then numerical results are presented for an implementation of a smooth-cubic-spline-collocation procedure accelerated via iterated deferred corrections to obtain approximate solutions, accurate to a prescribed tolerance, of two-point boundary-value problems for second-order scalar ordinary differential equations. The results are similar to those obtained via a less generally applicable finite-difference-oriented code described elsewhere which competes well with the best codes available. (Author)