Convergence analysis of nonic-spline solutions for special nonlinear sixth-order boundary value problems

In this paper, we use nonic-spline polynomial method for the numerical solution of special nonlinear sixth-order two-point boundary value problems. The main idea is to use the conditions of continuity as discretization equations for the sixth-order boundary value problem. The end conditions are derived for defined spline. A new approach for convergence analysis of the presented method discussed. Some examples are solved to illustrate the applications of method, and to compare the computed results with other existing known methods.