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
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
