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Step size strategies for the numerical integration of systems of differential equations

Authors:	Gülnur Çelı̇k Kızılkan Kemal Aydın

Institution:	1. Kahramanmara? Sütçü imam University, Faculty of Education, Department of Primary Mathematics Education, Kahramanmara?, Turkey;2. Selçuk University, Science Faculty, Department of Mathematics, Konya, Turkey

Abstract:	In this study, the step size strategies are obtained such that the local error is smaller than the desired error level in the numerical integration of a type of nonlinear equation system in interval _t₀,T] $t_{0}, T]$ . The algorithms are given for calculating step sizes and numerical solutions according to these strategies. The algorithms are supported by the numerical examples.

Keywords:	34A34 65D30
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