Three-and four-derivative Hermite-Birkhoff-Obrechkoff solvers for stiff ODE

FieldValue
dc.contributor.authorAlbishi, Njwd
dc.date.accessioned2016-03-03T13:12:35Z
dc.date.available2016-03-03T13:12:35Z
dc.date.issued2016
dc.identifier.urihttp://hdl.handle.net/10393/34332
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-5161
dc.description.abstractThree- and four-derivative k-step Hermite-Birkhoff-Obrechkoff (HBO) methods are constructed for solving stiff systems of first-order differential equations of the form y'= f(t,y), y(t0) = y0. These methods use higher derivatives of the solution y as in Obrechkoff methods. We compute their regions of absolute stability and show the three- and four-derivative HBO are A( 𝜶)-stable with 𝜶 > 71 ° and 𝜶 > 78 ° respectively. We conduct numerical tests and show that our new methods are more efficient than several existing well-known methods.
dc.language.isoen
dc.publisherUniversité d'Ottawa / University of Ottawa
dc.subjectgeneral linear method for stiff ODE's
dc.subjectHermite-Birkhoff-Obrechkoff method
dc.subjectmaximum end error
dc.subjectnumber of function evaluations
dc.subjectCPU time
dc.subjectcomparing stiff ODE solvers.
dc.titleThree-and four-derivative Hermite-Birkhoff-Obrechkoff solvers for stiff ODE
dc.typeThesis
dc.contributor.supervisorGiordano, Thierry
thesis.degree.nameMSc
thesis.degree.levelMasters
thesis.degree.disciplineSciences / Science
uottawa.departmentMathematics
CollectionThèses, 2011 - // Theses, 2011 -

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