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

Faraidun K. Hamasalh
Department of Mathematics, School of Science Education, University of Sulaimani

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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