Magnus series expansion method for solving nonhomogeneous stiff systems of ordinary differential equations

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dc.contributor.author Atay, Mehmet T.
dc.contributor.author Eryilmaz, Aytekin
dc.contributor.author Komez, Sure
dc.contributor.department AGÜ, Mühendislik Fakültesi, Makine Mühendisliği Bölümü en_US
dc.contributor.institutionauthor Atay, Mehmet T.
dc.date.accessioned 2021-10-09T09:21:53Z
dc.date.available 2021-10-09T09:21:53Z
dc.date.issued 2016 en_US
dc.description.abstract In this paper, Magnus Series Expansion Method, which is based on Lie Groups and Lie algebras is proposed with different orders to solve nonhomogeneous stiff systems of ordinary differential equations. Using multivariate Gaussian quadrature, fourth (MG4) and sixth (MG6) order method are presented. Then, it is applied to nonhomogeneous stiff systems using different step sizes and stiffness ratios. In addition, approximate and exact solutions are demonstrated with figures in detail. Moreover, absolute errors are illustrated with detailed tables. en_US
dc.identifier.issn 2307-4108
dc.identifier.issn 2307-4116
dc.identifier.uri https://hdl.handle.net/20.500.12573/978
dc.identifier.volume Volume 43 Issue 1 Page 25-38 en_US
dc.language.iso eng en_US
dc.publisher ACADEMIC PUBLICATION COUNCILPO BOX 17225, KHALDIYA 72453, KUWAIT en_US
dc.relation.journal KUWAIT JOURNAL OF SCIENCE en_US
dc.relation.publicationcategory Makale - Uluslararası - Editör Denetimli Dergi en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject stiff systems en_US
dc.subject magnus series expansion method en_US
dc.subject linear differential equations en_US
dc.subject lie group method en_US
dc.subject Geometric integration en_US
dc.title Magnus series expansion method for solving nonhomogeneous stiff systems of ordinary differential equations en_US
dc.type article en_US

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