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 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