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Minimize of Error Estimation and Approximate Solution of Fifth Order Initial Value Problems.

Journal: Journal of Zankoy Sulaimani (Vol.15, No. 1)

Publication Date:

Authors : ; ;

Page : 117-124

Keywords : Differential equations; Spline interpolation; Absolute error; Lipchitz condition.;

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Abstract

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.

Last modified: 2013-07-24 08:11:24