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 u(۴)+f(x,u)=۰, u(a)=α۱, u''(a)= α۲, u(b)= β۱,u''(b)= β۲, in off step points. Numerical method of sixth-order with end conditions of the order ۶ 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.

Keywords:

Non-polynomial spline , Boundary formula , Convergence analysis