Approximate Solution of Initial Value Problems by Means of Ninth Degree Spline

Abstract

In this paper, a nonlinear initial value problem is solved numerically by means of ninth
 degree spline function. The solution of initial value problems approximated as a linear
 interpolation of ninth spline functions. In this method, the basis spline functions are redefined into
 a new approximation set of ninth degree spline functions which interpolate the number of select
 derivatives. To test the efficiency of the method, two numerical examples of initial value problems
 are solved by the proposed method.