A. Abd-Al-Razak, H., N. M. Tawfiq, L. (2012). SEMI-ANALYTIC TECHNIQUE FOR SOLVING HIGH ORDER NONLINEAR ORDINARY INITIAL VALUE PROBLEM. , 53(1), 140-147.
Heba A. Abd-Al-Razak; Luma N. M. Tawfiq. "SEMI-ANALYTIC TECHNIQUE FOR SOLVING HIGH ORDER NONLINEAR ORDINARY INITIAL VALUE PROBLEM". , 53, 1, 2012, 140-147.
A. Abd-Al-Razak, H., N. M. Tawfiq, L. (2012). 'SEMI-ANALYTIC TECHNIQUE FOR SOLVING HIGH ORDER NONLINEAR ORDINARY INITIAL VALUE PROBLEM', , 53(1), pp. 140-147.
A. Abd-Al-Razak, H., N. M. Tawfiq, L. SEMI-ANALYTIC TECHNIQUE FOR SOLVING HIGH ORDER NONLINEAR ORDINARY INITIAL VALUE PROBLEM. , 2012; 53(1): 140-147.

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

Iraqi Journal of Science
Article 1, Volume 53, Issue 1, 2012, Pages 140-147
Authors
Heba A. Abd-Al-Razak; Luma N. M. Tawfiq
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 two-point 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.
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