eng
Science and Education Publishing
American Journal of Numerical Analysis
2372-2126
2016-04-28
4
1
11
20
10.12691/ajna-4-1-3
AJNA2016413
article
New Constraction Seven Degree Spline Function to Solve Sencond Order Initial Value Problem
Karwan H.F. Jwamer
karwan.jwamer@univsul.edu.iq
1
Najim Abdullah I.
2
Mathematics Department, School of Science, University of Sulaimani, Sulaimani, Kurdistan Region, Iraq
Mathematics Department, College of Science, University of Garmian, Kalar, Kurdistan Region, Iraq
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.
http://pubs.sciepub.com/ajna/4/1/3/ajna-4-1-3.pdf
spline functions
second order initial value problem approximation solution
convergence analysis