Solution of eighth-order boundary-value problems using nonpolynomial spline

We use non-polynomial spline function to develop numerical methods for the solution of the eighth-order linear boundary-value problems. End conditions of the spline are derived. We applied the presented method to an example and compare dour results with the results produced by decomposition method and polynomials pline method. However, it is observed that our approach produce better numerical solutions in the sense that maximum absolute error|ei| is a minimum.