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Article: Relativistic dissipative cosmological models and Abel differential equation

TitleRelativistic dissipative cosmological models and Abel differential equation
Authors
Harko, TMak, MK
KeywordsAbel Differential Equations
Einstein Field Equations
Relativistic Dissipative Cosmologies
Issue Date2003
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/camwa
Citation
Computers and Mathematics with Applications, 2003, v. 46 n. 5-6, p. 849-853 How to Cite?
DOI: http://dx.doi.org/10.1016/S0898-1221(03)90147-7
AbstractWe analyze the second-order strongly nonlinear differential equation describing the relativistic evolution of a causal dissipative cosmological fluid in a conformally flat space-time. By means of appropriate transformations, the evolution equation can be reduced to a first-order second-type Abel differential equation. The general solution of the Abel equation is obtained in an exact form and, as a consequence, it is shown that the general solution of the second-order evolution differential equation can be represented in an exact parametric form.
Persistent Identifierhttp://hdl.handle.net/10722/91878
ISSN
0898-1221
2021 Impact Factor: 3.218
2020 SCImago Journal Rankings: 1.079
ISI Accession Number ID
WOS:000186293600015
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorHarko, Ten_HK
dc.contributor.authorMak, MKen_HK
dc.date.accessioned2010-09-17T10:29:14Z-
dc.date.available2010-09-17T10:29:14Z-
dc.date.issued2003en_HK
dc.identifier.citationComputers and Mathematics with Applications, 2003, v. 46 n. 5-6, p. 849-853en_HK
dc.identifier.issn0898-1221en_HK
dc.identifier.urihttp://hdl.handle.net/10722/91878-
dc.description.abstractWe analyze the second-order strongly nonlinear differential equation describing the relativistic evolution of a causal dissipative cosmological fluid in a conformally flat space-time. By means of appropriate transformations, the evolution equation can be reduced to a first-order second-type Abel differential equation. The general solution of the Abel equation is obtained in an exact form and, as a consequence, it is shown that the general solution of the second-order evolution differential equation can be represented in an exact parametric form.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/camwaen_HK
dc.relation.ispartofComputers and Mathematics with Applicationsen_HK
dc.subjectAbel Differential Equationsen_HK
dc.subjectEinstein Field Equationsen_HK
dc.subjectRelativistic Dissipative Cosmologiesen_HK
dc.titleRelativistic dissipative cosmological models and Abel differential equationen_HK
dc.typeArticleen_HK
dc.identifier.emailHarko, TC:harko@hkucc.hku.hken_HK
dc.identifier.authorityHarko, TC=rp1333en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0898-1221(03)90147-7en_HK
dc.identifier.scopuseid_2-s2.0-0242498791en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0242498791&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume46en_HK
dc.identifier.issue5-6en_HK
dc.identifier.spage849en_HK
dc.identifier.epage853en_HK
dc.identifier.isiWOS:000186293600015-
dc.identifier.issnl0898-1221-

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