THREE- AND FOUR-STAGE IMPLICIT INTERVAL METHODS OF RUNGE-KUTTA TYPE

Karol Gajda, Andrzej Marciniak, Barbara Szyszka · Computational Methods in Science and Technology · 2000

The paper presents three-and four-stage implicit interval methods of Runge-Kutta type and is a continuation of our previous paper [6] dealing with one-and two-stage methods of this kind.It is shown that the exact solution of the initial value problem belongs to interval-solutions obtained by both kinds of these methods (three-and four-stage).We also present some approximations of the widths of interval-solutions.

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