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

Luma Tawfiq; Heba Abd-Al-Razak

doi:10.24996/

Authors

Luma Tawfiq Department of Mathematics, College of Education Ibn Al-Haitham, University of Baghdad. Baghdad-Iraq.
Heba Abd-Al-Razak Department of Mathematics, College of Education Ibn Al-Haitham, University of Baghdad. Baghdad-Iraq.

DOI:

https://doi.org/10.24996/

Keywords:

TECHNIQUE, ORDER

Abstract

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.