Application of successive linearisation method to squeezing flow with bifurcation

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dc.contributor.authorMotsa, S. S.en_ZA
dc.contributor.authorMakinde, O. D.en_ZA
dc.contributor.authorShateyi, S.en_ZA
dc.date.accessioned2016-01-15T12:21:21Z
dc.date.available2016-01-15T12:21:21Z
dc.date.issued2014-01-02
dc.descriptionPlease cite as follows: Motsa, S. S., Makinde, O. D. & Shateyi, S. 2014. Application of successive linearisation method to squeezing flow with bifurcation. Advances in Mathematical Physics, 2014:1-6 (Article ID 410620), doi:10.1155/2014/410620.en_ZA
dc.descriptionThe original publication is available at http://www.hindawi.com/journals/ampen_ZA
dc.description.abstractThis paper employs the computational approach known as successive linearization method (SLM) to tackle a fourth order nonlinear differential equation modelling the transient flow of an incompressible viscous fluid between two parallel plates produced by a simple wall motion. Numerical and graphical results obtained show excellent agreement with the earlier results reported in the literature. We obtain solution branches as well as a turning point in the flow field accurately. A comparison with numerical results generated using the inbuilt MATLAB boundary value solver, bvp4c, demonstrates that the SLM approach is a very efficient technique for tackling highly nonlinear differential equations of the type discussed in this paper.en_ZA
dc.description.urihttp://www.hindawi.com/journals/amp/2014/410620/
dc.description.versionPublisher's versionen_ZA
dc.format.extent6 pagesen_ZA
dc.identifier.citationMotsa, S. S., Makinde, O. D. & Shateyi, S. 2014. Application of successive linearisation method to squeezing flow with bifurcation. Advances in Mathematical Physics, 2014:1-6 (Article ID 410620), doi:10.1155/2014/410620.en_ZA
dc.identifier.issn1687-9139 (online)
dc.identifier.issn1687-9120 (print)
dc.identifier.otherdoi:10.1155/2014/410620
dc.identifier.urihttp://hdl.handle.net/10019.1/98176
dc.language.isoen_ZAen_ZA
dc.publisherHindawi Publishing Corporationen_ZA
dc.rights.holderAuthors retain copyrighten_ZA
dc.subjectLinearization methoden_ZA
dc.subjectFluid dynamics -- Mathematicsen_ZA
dc.titleApplication of successive linearisation method to squeezing flow with bifurcationen_ZA
dc.typeArticleen_ZA
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