caa a22 4500 445862122 CHVBK 20180317145446.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10092-011-0038-9 doi (NATIONALLICENCE)springer-10.1007/s10092-011-0038-9 Class 2+1 Hybrid BDF-Like methods forthenumerical solutions of ordinary differential equations [Elektronische Daten] [M. Ebadi, M. Gokhale] In this article, the details of new hybrid methods have been presented to solve systems of ordinary differential equations (ODEs). These methods are based on backward differentiation formulae (BDF) where one additional stage point (or off-step point) and two step points have been used in the first derivative of the solution to improve the absolute stability regions compared with some existing methods such as BDF, extended BDF (EBDF) and modified EBDF (MEBDF). Stability domains of our new methods have been obtained showing that these methods, we say Class 2+1 Hybrid BDF-Like methods, are A-stable for order p, p=3,4, and A(α)-stable for order p, p=5, 6, 7, 8. Numerical results are also given for five test problems. Springer-Verlag, 2011 Stiff systems nationallicence Off-step point nationallicence General multistep methods nationallicence A-stability nationallicence Ebadi M. Department of Mathematics, University of Pune, Pune, India aut Gokhale M. Department of Mathematics, M.I.T. College, Pune, India aut Calcolo Springer Milan 48/4(2011-12-01), 273-291 0008-0624 48:4<273 2011 48 10092 https://doi.org/10.1007/s10092-011-0038-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10092-011-0038-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Ebadi M. Department of Mathematics, University of Pune, Pune, India aut NATIONALLICENCE 700 1- Gokhale M. Department of Mathematics, M.I.T. College, Pune, India aut NATIONALLICENCE 773 0- Calcolo Springer Milan 48/4(2011-12-01), 273-291 0008-0624 48:4<273 2011 48 10092 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer