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Numerical Solution of a KdV Equation, Model of a Free Surface Flow

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dc.contributor.authorWiryanto, Leo
dc.date.accessioned2015-12-08T22:16:47Z
dc.date.available2015-12-08T22:16:47Z
dc.date.issued2014
dc.date.updated2015-12-08T08:04:29Z
dc.description.abstractA KdV equation is considered as a model of free surface flow disturbed by a bump. The equation has a parameter related to the Froude number, defined as the upstream flow, and it has a forcing term as representation of the bottom topography. From the analytical solution, that can be obtained for special case of the bottom topography, i.e when it is a solitary form of secant hyperbolic function, a numerical method is developed to confirm that solution. The method is based on a finite difference. As the result, our numerical procedure gives two solutions. Only one agrees with the analytical solution, but it does not confirm to the limiting case of the solution obtained from unsteady problem, the second solution does.
dc.identifier.issn1312-885X
dc.identifier.urihttp://hdl.handle.net/1885/30837
dc.publisherHikari Ltd
dc.sourceApplied Mathematical Sciences
dc.titleNumerical Solution of a KdV Equation, Model of a Free Surface Flow
dc.typeJournal article
local.bibliographicCitation.issue93
local.bibliographicCitation.lastpage4653
local.bibliographicCitation.startpage4645
local.contributor.affiliationWiryanto, Leo, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidWiryanto, Leo, u5297179
local.description.notesImported from ARIES
local.identifier.absfor010302 - Numerical Solution of Differential and Integral Equations
local.identifier.absseo970101 - Expanding Knowledge in the Mathematical Sciences
local.identifier.ariespublicationu5328909xPUB77
local.identifier.citationvolume8
local.identifier.doi10.12988/ams.2014.46404
local.identifier.scopusID2-s2.0-84911951997
local.type.statusPublished Version

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