Application of non polynomial spline to solve the third order boundary value problems

In this paper we used quartic non-polynomial splines to improve a new numerical method for computing approximations to the solution of third order boundary value problems, and shown the new method gives approximations, which are better than those produced by other collocation, finite-difference, and spline methods. Convergence analysis of the method is discussed through standard procedures. A numerical example is given here to illustrate the efficiency and applicability of the novel method.