Numerical solution of Burgers' equation with high order splitting methods

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dc.contributor.authorSeydaoglu, M.
dc.contributor.authorErdogan, U.
dc.contributor.authorOzis, T.
dc.date.accessioned2019-10-27T22:58:51Z
dc.date.available2019-10-27T22:58:51Z
dc.date.issued2016
dc.departmentEge Üniversitesien_US
dc.description.abstractIn this work, high order splitting methods have been used for calculating the numerical solutions of Burgers' equation in one space dimension with periodic, Dirichlet, Neumann and Robin boundary conditions. However, splitting methods with real coefficients of order higher than two necessarily have negative coefficients and cannot be used for time-irreversible systems, such as Burgers' equations, due to the time-irreversibility of the Laplacian operator. Therefore, the splitting methods with complex coefficients and extrapolation methods with real and positive coefficients have been employed. If we consider the system as the perturbation of an exactly solvable problem (or one that can be easily approximated numerically), it is possible to employ highly efficient methods to approximate Burgers' equation. The numerical results show that both the methods with complex time steps having one set of coefficients real and positive, say a(i) is an element of R+ and b(i) is an element of C+, and high order extrapolation methods derived from a lower order splitting method produce very accurate solutions of Burgers' equation. (C) 2015 Published by Elsevier B.V.en_US
dc.identifier.doi10.1016/j.cam.2015.04.021
dc.identifier.endpage421en_US
dc.identifier.issn0377-0427
dc.identifier.issn1879-1778
dc.identifier.issn0377-0427en_US
dc.identifier.issn1879-1778en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage410en_US
dc.identifier.urihttps://doi.org/10.1016/j.cam.2015.04.021
dc.identifier.urihttps://hdl.handle.net/11454/51658
dc.identifier.volume291en_US
dc.identifier.wosWOS:000362130800034en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Science Bven_US
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBurgers' equationen_US
dc.subjectSplitting methodsen_US
dc.subjectExtrapolation methodsen_US
dc.subjectComplex coefficientsen_US
dc.titleNumerical solution of Burgers' equation with high order splitting methodsen_US
dc.typeArticleen_US

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