An Approximate Solution of Burgers Equation by Differential Transform Method

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dc.contributor.authorAyaz, Fatma
dc.contributor.authorOturanç, Galip
dc.date.accessioned2020-03-26T16:47:24Z
dc.date.available2020-03-26T16:47:24Z
dc.date.issued2004
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this paper, we investigate some applications of differential transform method for solving the linear and nonlinear partial differential equations with appropriate initial and boundary conditions. In order to test and comparison of the approximate solutions obtained from differential transform method where we have studied two test problems. In the first problem, a closed form solution of the heat equation, which can be obtained from Burgers' equation by omitting the nonlinear term in it, have been found easily. In the second problem, an approximate solution to the Burgers' equation under appropriate conditions has been found for only the small values of t (time variable) and viscosity, ν. For decreasing viscosity, which is difficult task in the solution, it has seen that no significant difference in the solution for 0<t<0.005. The results have showed that the method can easily be applied both linear and nonlinear partial differential equations.en_US
dc.identifier.citationAyaz, F., Oturanç, G., (2004). An Approximate Solution of Burgers Equation by Differential Transform Method. Selçuk Journal of Applied Mathematics, 5(2), 15-24.
dc.identifier.endpage24en_US
dc.identifier.issn1302-7980en_US
dc.identifier.issue2en_US
dc.identifier.startpage15en_US
dc.identifier.urihttp://www.trdizin.gov.tr/publication/paper/detail/TnpReE5UUTA=
dc.identifier.urihttps://hdl.handle.net/20.500.12395/18864
dc.identifier.volume5en_US
dc.indekslendigikaynakTR-Dizinen_US
dc.language.isoenen_US
dc.relation.ispartofSelçuk Journal of Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectMatematiken_US
dc.subjectBurgers equation
dc.subjectHeat equation
dc.subjectDifferential transform method
dc.titleAn Approximate Solution of Burgers Equation by Differential Transform Methoden_US
dc.typeArticleen_US

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