Cubic spline on quintic spline method for nonlinear boundary value problems

摘要

Cubic spline on quintic spline interpolations are used to approximate the derivative terms in the numerical scheme used for the solution of nonlinear boundary value problems in one dimension. The accuracy is improved to the order O(h8) while in a previous paper [1], using cubic spline on spline interpolations, it was shown to be of order O(h6).