Solving Finite Difference Approximations to Nonlinear Two-point Boundary Value Problems by a Homotopy Method

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dc.contributor.authorWatson, Layne T.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:36:31Zen
dc.date.available2013-06-19T14:36:31Zen
dc.date.issued1979en
dc.description.abstractThe Chow-Yorke algorithm is a homotopy method that has been proved globally convergent for Brouwer fixed point problems, classes of zero finding, nonlinear programming, and two-point boundary value problems. The method is numerically stable, and has been successfully applied to several practical nonlinear optimization and fluid dynamics problems. Previous application of the homotopy method to two-point boundary value problems has been based on shooting, which is inappropriate for fluid dynamics problems with sharp boundary layers. Here the Chow-Yorke algorithm is proved globally convergent for a class of finite difference approximations to nonlinear two-point boundary value problems. The numerical implementation of the algorithm is briefly sketched, and computational results are given for two fairly difficult fluid dynamics boundary value problems.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000840/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000840/01/CS79008-R.pdfen
dc.identifier.trnumberCS79008-Ren
dc.identifier.urihttp://hdl.handle.net/10919/20353en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofHistorical Collection(Till Dec 2001)en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleSolving Finite Difference Approximations to Nonlinear Two-point Boundary Value Problems by a Homotopy Methoden
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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