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Creator:

Jankowska Małgorzata

Resource Type:

artykuł

Contributor:

Marciniak Andrzej

Abstract:

In our previous paper [1] we have considered implicit interval multistep methods of Adams- Moulton type for solving the initial value problem. On the basis of these methods and the explicit ones introduced by Sokin [2] we wanted to construct predictor-corrector (explicit-implicit) interval methods. However, it turned out that the formulas given by Šokin are incorrect even in the simplest case. Therefore, in this paper we direct our attention to the explicit interval methods of Adams-Bashforth type and modify the formulas of Sokin. For the modified explicit interval methods it is proved, like f o r the implicit interval methods considered in [1], that the exact solution of the problem belongs to interval-solutions obtained by these methods. Moreover, it is shown an estimation of the widths of such interval-solutions.

Place of publishing:

Poznań

Publisher:

OWN

Format:

application/pdf

Resource Identifier:

oai:lib.psnc.pl:535

Language:

eng

Object collections:

Last modified:

Jul 30, 2014

In our library since:

May 23, 2014

Number of object content hits:

234

All available object's versions:

https://lib.psnc.pl/publication/633

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Edition name Date
On Explicit Interval Methods of Adams-Bashforth Type Jul 30, 2014

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