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

Authors:
Gülnur Çelık Kızılkan;Kemal Aydın
Affiliations:
Kahramanmaraş Sütçü imam University, Faculty of Education, Department of Primary Mathematics Education, Kahramanmaraş, Turkey;Selçuk University, Science Faculty, Department of Mathematics, Konya, Turkey
Venue:
Journal of Computational and Applied Mathematics
Year:
2012

Citing 5
Cited 0

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Journal of Computational and Applied Mathematics - Special issue: Selected papers from the conference on computational and mathematical methods for science and engineering (CMMSE-2002) Alicante University, Spain, 20-25 september 2002

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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 [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.