Numerical solution of sixth order boundary value problems with sixth degree B-spline functions

Abstract

Siddiqi and Twizell using sextic splines to approximate solution of sixth order linear boundary value problems. In the present paper, a sixth degree B-spline functions is used to construct an approximate solution for sixth order linear and nonlinear boundary value problems. In fact we will show that for every ε > 0, there exist an approximate solution v ε such that the least square error of this v ε is less than ε > 0. And also v ε satisfies the exact boundary conditions.