Beam search for space extension in explicit ordinary differential equation conicalization [??????? ????? ??? ?????????? ???????????? ???????????? ???????????????? ?????????, ??????????? ???????????? ???????????]

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dc.contributor.authorGözükırmızı C.
dc.date.accessioned2024-03-13T10:01:13Z
dc.date.available2024-03-13T10:01:13Z
dc.date.issued2022
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractSpace extension for explicit ODEs is considering introduction of new equations to the equation set where the new unknowns are functionally dependent on the original unknowns. The purpose is to convert the ODE set into a form that has purely second degree multinomial right hand side functions. This is a necessary preprocessing step for certain series solution methods. Multinomial ODEs can be converted to ODEs with purely second degree terms through space extension. In a previous work, it is shown that the space extension with the smallest number of new unknowns can be found by a complete search. However, the complete search is not computationally efficient. In this paper, a computationally efficient search (beam search) is utilized but optimality (smallest number of new unknowns) is not guaranteed. The numerical experiments show that beam search is powerful in finding a useful space extension even for multinomials with relatively higher degrees. © 2022 Authors. All rights reserved.en_US
dc.description.sponsorshipThe author would like to thank Metin Demiralp for fruitful discussions during the preparation of the manuscript.en_US
dc.identifier.doi10.25743/ICT.2022.27.6.009
dc.identifier.endpage114en_US
dc.identifier.issn1560-7534
dc.identifier.issue6en_US
dc.identifier.scopus2-s2.0-85147737812en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage100en_US
dc.identifier.urihttps://doi.org/10.25743/ICT.2022.27.6.009
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3059
dc.identifier.volume27en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherInstitute of Computational Technologies SB RASen_US
dc.relation.ispartofJournal of Computational Technologiesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectbeam searchen_US
dc.subjectordinary differential equationsen_US
dc.subjectspace extensionen_US
dc.titleBeam search for space extension in explicit ordinary differential equation conicalization [??????? ????? ??? ?????????? ???????????? ???????????? ???????????????? ?????????, ??????????? ???????????? ???????????]en_US
dc.typeArticleen_US

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