Runge-Kutta methods for fuzzy differential equations

Palligkinis, SCh; Papageorgiou, G; Famelis, ITh

dc.contributor.author	Palligkinis, SCh	en
dc.contributor.author	Papageorgiou, G	en
dc.contributor.author	Famelis, ITh	en
dc.date.accessioned	2014-03-01T01:31:49Z
dc.date.available	2014-03-01T01:31:49Z
dc.date.issued	2009	en
dc.identifier.issn	00963003	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19946
dc.subject	Convergence of numerical methods	en
dc.subject	Fuzzy differential equations	en
dc.subject	Fuzzy numbers	en
dc.subject	Numerical solution	en
dc.subject	Runge-Kutta methods	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Differential equations	en
dc.subject.other	Fuzzy rules	en
dc.subject.other	Fuzzy sets	en
dc.subject.other	Initial value problems	en
dc.subject.other	Number theory	en
dc.subject.other	Euler methods	en
dc.subject.other	Fuzzy differential equations	en
dc.subject.other	Fuzzy numbers	en
dc.subject.other	Initial values	en
dc.subject.other	Numerical solution	en
dc.subject.other	Runge Kutta methods	en
dc.title	Runge-Kutta methods for fuzzy differential equations	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.amc.2008.06.017	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.amc.2008.06.017	en
heal.publicationDate	2009	en
heal.abstract	Fuzzy differential equations (FDEs) generalize the concept of crisp initial value problems. In this article, we deal with the numerical solution of FDEs. The notion of convergence of a numerical method is defined and a category of problems which is more general than the one already found in the numerical analysis literature is solved. Efficient s-stage Runge-Kutta methods are used for the numerical solution of these problems and the convergence of the methods is proved. Several examples comparing these methods with the previously developed Euler method are displayed. © 2008 Elsevier Inc. All rights reserved.	en
heal.journalName	Applied Mathematics and Computation	en
dc.identifier.doi	10.1016/j.amc.2008.06.017	en
dc.identifier.volume	209	en
dc.identifier.issue	1	en
dc.identifier.spage	97	en
dc.identifier.epage	105	en