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.
| Identifer | oai:union.ndltd.org:uottawa.ca/oai:ruor.uottawa.ca:10393/34332 |
| Date | January 2016 |
| Creators | Albishi, Njwd |
| Contributors | Giordano, Thierry |
| Publisher | Université d'Ottawa / University of Ottawa |
| Source Sets | Université d’Ottawa |
| Language | English |
| Detected Language | English |
| Type | Thesis |
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