Title of article
Extended SDBDF-Type Methods Based on Linear Barycentric Rational Interpolants for ODEs
Author/Authors
Abdi ، Ali Department of Mathematics - Faculty of Mathematical Sciences - University of Tabriz , Hojjati ، Gholamreza Department of Mathematics - Faculty of Mathematical Sciences - University of Tabriz , Taheri Koltape ، Leila Department of Mathematics - Faculty of Mathematical Sciences - University of Tabriz
From page
3255
To page
3268
Abstract
Barycentric rational finite differences (RFD), as an application of linear barycentric interpolants, have been used to develop numerical integrators for solving ordinary differential equations. The class of SDBDF-type methods based on RFD has been already introduced. In this paper, we are interested in introducing an extended version of this class of the methods using future-step point technique. This extension improves the stability and accuracy properties of the methods as verified theoretically and numerically.
Keywords
Ordinary differential equations , Stiff problems , Barycentric rational interpolation , Second derivative methods , Future , step point methods , Linear stability
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2775183
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