On the solution of the Riccati equation by the decomposition method

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dc.contributor.authorBulut, H
dc.contributor.authorEvans, DJ
dc.date.accessioned2026-08-12T17:29:14Z
dc.date.issued2002
dc.departmentFırat Üniversitesi
dc.description.abstractIn this paper we study an analytic solution and a reliable numerical approximation of the Riccati equation by using the Adomian's decomposition method. The solution is calculated in the form of a series with easily computable components, The numerical results show the effectiveness of the method for this type of equation. Comparing the methodology with some known techniques shows that the present approach is relatively easy and highly accurate.
dc.identifier.doi10.1080/00207160211917
dc.identifier.endpage109
dc.identifier.issn0020-7160
dc.identifier.issn1029-0265
dc.identifier.issue1
dc.identifier.orcid0000-0002-6089-1517
dc.identifier.scopus2-s2.0-2942595048
dc.identifier.scopusqualityQ1
dc.identifier.startpage103
dc.identifier.urihttps://doi.org/10.1080/00207160211917
dc.identifier.urihttps://hdl.handle.net/11508/55624
dc.identifier.volume79
dc.identifier.wosWOS:000175818200007
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofInternational Journal of Computer Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260511
dc.subjectRiccati equation
dc.subjectAdomian decomposition
dc.subjectRunge-Kutta method
dc.titleOn the solution of the Riccati equation by the decomposition method
dc.typeArticle

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