Non polynomial spline solutions for special linear tenth-order boundary value problems

Non-polynomial spline is used for solution of the tenth-order linear boundary value problems. We obtained the classes of numerical methods for a specific choice of the parameters involved in non-polynomial spline. The end conditions consistent with the boundary value problems are derived. Truncation errors are given. A new approach convergence analysis of the presented methods is discussed. Two examples are considered for the numerical illustration. However, it is observed that our approach produce better numerical solutions in the sense thatmax |ei| is minimum.