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Application of the heat-balance and refined integral methods to the korteweg-de vries equation

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dc.contributor.author Myers, Tim G.
dc.contributor.author Mitchell, Sarah L.
dc.date.accessioned 2018-01-12T12:20:21Z
dc.date.available 2018-01-12T12:20:21Z
dc.date.issued 2009
dc.identifier.uri http://hdl.handle.net/10344/6433
dc.description peer-reviewed en_US
dc.description.abstract In this paper we consider approximate travelling wave solutions to the Korteweg-de Vries equation. The heat-balance integral method is first applied to the problem, using two different quartic approximating functions, and then the re - fined integral method is investigated. We examine two types of solution, chosen by matching the wave speed to that of the exact solution and by imposing the same area. The first set of solutions is generally better with an error that is fixed in time. The second set of solutions has an error that grows with time. This is shown to be due to slight discrepancies in the wave speed. en_US
dc.language.iso eng en_US
dc.publisher Vinča Institute of Nuclear Sciences, Belgrade en_US
dc.relation.ispartofseries Thermal Science;13, (2) pp. 113-119
dc.relation.uri http://dx.doi.org/10.2298/TSCI0902113M
dc.subject korteweg-de vries en_US
dc.subject heat-balance integral method en_US
dc.subject refined integral method en_US
dc.subject travelling wave en_US
dc.title Application of the heat-balance and refined integral methods to the korteweg-de vries equation en_US
dc.type info:eu-repo/semantics/article en_US
dc.type.supercollection all_ul_research en_US
dc.type.supercollection ul_published_reviewed en_US
dc.identifier.doi 10.2298/TSCI0902113M
dc.rights.accessrights info:eu-repo/semantics/openAccess en_US


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