Parametric septic splines approach for the solution of linear sixth-order two-point boundary value problems

Abstract

Parametric splines, which reduces to seven-degree polynomial splines, have been used to develop a class of numerical methods for the solution of linear sixth-order two-point boundary value problems. Convergence analysis of the methods is discussed through standard procedure. It is shown that the present methods give approximations, which are better than those produced by other splines and domain decomposition methods. Three numerical examples are given to illustrate the practical usefulness of the new approach.