Numerical Solution Nonlinear Fourth-Order Boundary Value Problems by Non-Polynomial Spline

We use non-polynomial spline to develop numerical methods for the solution of the fourth - order linear and nonlinear boundary-value problems. End conditions of the spline are derived. We compare our results with the results produced by spline method and Galerkin Method with quintic B-splines. However, it is observed that our approach produce better numerical solutions in the sense that max | i e | is a minimum.

Keywords:

Fourth-order nonlinear boundary value problem , Non-polynomial splin , Boundary value formulae , Numerical results