Pure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmetic

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dc.contributor.authorGözükırmızı C.
dc.date.accessioned2024-03-13T10:01:08Z
dc.date.available2024-03-13T10:01:08Z
dc.date.issued2024
dc.departmentİstanbul Beykent Üniversitesien_US
dc.description.abstractProbabilistic evolution theory provides a promising method for the solution of ordinary differential equations with multinomial right hand side functions. In this work, the solution by probabilistic evolution theory is implemented in C++ programming language. A novel algorithm for concurrent computation of the coefficients of the series expansion is designed and implemented. Using the program, approximate solutions for different ordinary differential equations are obtained and the results are compared to results of certain prominent methods for numerical solution of ordinary differential equations. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2023.en_US
dc.description.sponsorshipNo funds, grants, or other support was received.en_US
dc.identifier.doi10.1007/s10910-023-01563-8
dc.identifier.endpage680en_US
dc.identifier.issn0259-9791
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85180825905en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage654en_US
dc.identifier.urihttps://doi.org/10.1007/s10910-023-01563-8
dc.identifier.urihttps://hdl.handle.net/20.500.12662/3010
dc.identifier.volume62en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.relation.ispartofJournal of Mathematical Chemistryen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject34A34en_US
dc.subject65L05en_US
dc.subjectBinary semaphoreen_US
dc.subjectConcurrent computingen_US
dc.subjectCondensed Kronecker producten_US
dc.subjectExact arithmeticen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectProbabilistic evolution theoryen_US
dc.subjectQuadratizationen_US
dc.titlePure quadratization and solution of ordinary differential equations by probabilistic evolution theory with concurrent computation of coefficients using exact arithmeticen_US
dc.typeArticleen_US

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