SEMI-ANALYTIC TECHNIQUE FOR SOLVING HIGH ORDER NONLINEAR ORDINARY INITIAL VALUE PROBLEM

The aim of this paper is to present method for solving high order nonlinear ordinary differential equations with initial conditions using semi-analytic technique with constructing polynomial solutions. The original problem is concerned using twopoint osculatory interpolation with the fit equal numbers of derivatives at the end points of an interval [0, 1] and give example illustrate suggested method and accuracy, easily implemented. The accuracy of the method is confirmed by compared with conventional methods ( RK4, RK-Butcher, DTM ). The existence, uniqueness and sensitivity of the solution is discussed.