Spline approximate solution of fifth-order boundary-value problem

Abstract

We use non-polynomial spline function to develop numerical methods for the solution of the fifth-order linear boundary-value problems. End conditions of the spline are derived. We compare our results with the results produced by other decomposition method, Local polynomial regression and spline methods. However, it is observed that our approach produce better numerical solutions in the same that max∣ e i ∣ is a minimum.