Article ID Journal Published Year Pages File Type
4636650 Applied Mathematics and Computation 2006 7 Pages PDF
Abstract

In this study, we have obtained a step size strategy based on Picard–Lindelöf theorem and error analysis for the numeric integration of Cauchy problems in a region where the solutions of Cauchy problems exist and are unique. We have given an algorithm which calculates step size based on Picard–Lindelöf theorem and error analysis and obtains approximate solutions. The strategy and algorithm are modifications of the strategy and algorithm in [G. Çelik Kızılkan, K. Aydın, Step size strategy based on error analysis, Selcuk University Science and Art Faculty Journal of Science 25 (2005) 79–86 (in Turkish)].

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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