NON-POLYNOMIAL SPLINE SOLUTIONS FOR SPECIAL NONLINEAR FOURTH-ORDER BOUNDARY VALUE PROBLEMS

Abstract

We present a sixth-order non-polynomial spline method for the solutions of two-point nonlinear boundary value problem u⁽⁴⁾+f(x,u)=0, u(a)=α₁, u''(a)= α₂, u(b)= β₁,u''(b)= β₂, 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 computedresults with other known methods.