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

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Title: Three-and four-derivative Hermite-Birkhoff-Obrechkoff solvers for stiff ODE
Authors: Albishi, Njwd
Date: 2016
Abstract: 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.
URL: http://hdl.handle.net/10393/34332
http://dx.doi.org/10.20381/ruor-5161
CollectionThèses, 2011 - // Theses, 2011 -
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