Non-Polynomial Spline Solutions for Special Nonlinear Fourth-Order Boundary Value‎ ‎Problems

We present a sixth-order non-polynomial spline method for the solutions of two-point nonlinear boundary value problem ; in off step points. Numerical method of sixth-order with end conditions of the order 6 is derived. The convergence analysis of the method has been discussed. Numerical examples are presented to illustrate the applications of method, and to compare the computed results with other known methods.