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

Karwan H.F. Jwamer^1, 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

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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