Department of Mathematics,Iran University of Science and Technology
The smooth approximate solution of second order boundary value problems are developed
by using non-polynomial quintic spline function. We obtained the classes of numerical methods, which are
second, fourth and six-order. For a specic choice of the parameters involved in a non-polynomial spline,
truncation errors are given. A new approach convergence analysis of the presented methods are discussed.
Three test examples are considered in our references. By considering the maximum absolute errors in
the solution at grid points and tabulated in tables for dierent choices of step size, we conclude that our
presented methods produce accurate results in comparison with those obtained by existing methods.