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

Three- 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.

Identiferoai:union.ndltd.org:uottawa.ca/oai:ruor.uottawa.ca:10393/34332
Date January 2016
CreatorsAlbishi, Njwd
ContributorsGiordano, Thierry
PublisherUniversité d'Ottawa / University of Ottawa
Source SetsUniversité d’Ottawa
LanguageEnglish
Detected LanguageEnglish
TypeThesis

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