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Aryan Ali Muhammad ((Spline solution and Asymptotic Behaviors of Eigen values and Eigen function for some Types of Boundary value problem)) , A Thesis submitted to The Council of Faculty of science and science Education , school of science, University of Sulaimani in Pan till Fullfillment of the Requirements of the Degree of Doctor of Philosophy of science in Mathematics; January2013.

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Article

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

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

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


American Journal of Numerical Analysis. 2016, Vol. 4 No. 1, 11-20
DOI: 10.12691/ajna-4-1-3
Copyright © 2016 Science and Education Publishing

Cite this paper:
Karwan H.F. Jwamer, 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.

Correspondence to: Karwan  H.F. Jwamer, Mathematics Department, School of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq. Email: karwan.jwamer@univsul.edu.iq

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.

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