Fifth order two-stage explicit Runge-Kutta-Nystrom method for the direct integration of second order ordinary differential equations

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dc.contributor.authorOkunuga, S.A.
dc.contributor.authorSofoluwe, A.B.
dc.contributor.authorEhigie, J.O.
dc.contributor.authorAkanbi, M.A.
dc.date.accessioned2016-06-13T14:47:09Z
dc.date.available2016-06-13T14:47:09Z
dc.date.issued2012
dc.description.abstractIn this paper a direct integration of second-order Ordinary Differential Equations (ODEs) of the form using the Explicit Runge-Kutta-Nystrom method with higher derivatives is presented. Various numerical schemes are derived and tested on standard problems. The higher-order explicit Runge-Kutta-Nystrom (HERKN) method given in this paper is compared with the conventional Explicit Runge Kutta (ERK) schemes. Due to the limitation of ERK schemes in handling stiff problems, the extension to higher order derivative is considered. The results obtained show an improvement on ERK schemes.en_US
dc.identifier.citationOkunuga, S.A et al. (2012). Fifth order two-stage explicit Runge-Kutta-Nystrom method for the direct integration of second order ordinary differential equations. Scientific Research and Essays, 7(2): 134-144en_US
dc.identifier.issn1992-2248
dc.identifier.urihttp://hdl.handle.net/10566/2318
dc.language.isoenen_US
dc.privacy.showsubmitterFALSE
dc.publisherAcademic Journalsen_US
dc.rights.uriAcademic Journals strongly supports the Open Access initiative. Abstracts and full texts of all articles published by Academic Journals are freely accessible to everyone immediately after publication.
dc.source.urihttp://dx.doi.org/10.5897/SRE11.292
dc.status.ispeerreviewedTRUE
dc.subjectRunge-Kutta-Nystrom methoden_US
dc.subjectHERKN methoden_US
dc.subjectHigher-order derivativesen_US
dc.subjectSecond order ordinary differential equationsen_US
dc.subjectOrdinary Differential Equations (ODEs)en_US
dc.titleFifth order two-stage explicit Runge-Kutta-Nystrom method for the direct integration of second order ordinary differential equationsen_US
dc.typeArticleen_US

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