Faraidun K. Hamasalh

Department of Mathematics, School of Science Education, University of Sulaimani

**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.

**Key words:**and phrases: Spline function, convergence analysis, bounded errors, nonlinear IVPs.

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