American Journal of Numerical Analysis
ISSN (Print): 2372-2118 ISSN (Online): 2372-2126 Website: http://www.sciepub.com/journal/ajna Editor-in-chief: Emanuele Galligani
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American Journal of Numerical Analysis. 2016, 4(1), 11-20
DOI: 10.12691/ajna-4-1-3
Open AccessReview Article

New Constraction Seven Degree Spline Function to Solve Sencond Order Initial Value Problem

Karwan H.F. Jwamer1, and Najim Abdullah I.2

1Mathematics Department, School of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq

2Mathematics Department, College of Science, University of Garmian, Kalar, Kurdistan Region, Iraq

Pub. Date: April 28, 2016

Cite this paper:
Karwan H.F. Jwamer and Najim Abdullah I.. New Constraction Seven Degree Spline Function to Solve Sencond Order Initial Value Problem. American Journal of Numerical Analysis. 2016; 4(1):11-20. doi: 10.12691/ajna-4-1-3

Abstract

Our paper dedicated to find approximate solution of second order initial value problem by seven degree lacunary spline function of type (0, 1, 6). The convergence analysis of given method has studied. Numerical illustrations have given with example for calculating absolute error between spline functions and exact solution of second order initial value problem with their derivatives.

Keywords:
spline functions second order initial value problem approximation solution convergence analysis

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