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29-07-2019 | Original Paper | Issue 2/2020 Open Access

Numerical Algorithms 2/2020

Interval methods of Adams-Bashforth type with variable step sizes

Journal:
Numerical Algorithms > Issue 2/2020
Authors:
Andrzej Marciniak, Malgorzata A. Jankowska
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Abstract

In a number of our previous papers, we have proposed interval versions of multistep methods (explicit and implicit), including interval predictor-corrector methods, in which the step size was constant. In this paper, we present interval versions of Adams-Bashforth methods with a possibility to change step sizes. This possibility can be used to obtain interval enclosures of the exact solution with a width given beforehand.

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