Minimize of Error Estimation and Approximate Solution of Fifth OrderInitial Value Problems

Faraidun K. Hama-Salh,  Dhuha M. Salih

School of Science Education, University of Sulaimani  

In this paper, we derive some difference schemes for the initial value problems using
approximate spline interpolation, with the sixth degree lacunary spline function that
interpolates the solution function of the problem; first and fourth order accurate schemes
are obtained. To test the efficiency of the method, several numerical examples of third and
fifth order initial value problems are solved by proposed method.
Keywords: Differential equations, Spline interpolation, Absolute error, Lipchitz condition.

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