Publishing House SB RAS:

Publishing House SB RAS:

Address of the Publishing House SB RAS:
Morskoy pr. 2, 630090 Novosibirsk, Russia



Advanced Search

Numerical Analysis and Applications

2015 year, number 3

Stiffly stable second derivative linear multistep methods with two hybrid points

R. I. Okuonghae, M. N. O. Ikhile
Department of Mathematics, University of Benin, P.M.B. 1154, Benin City, Edo state, Nigeria
Keywords: continuous linear multistep methods, stiff problem, stiff stability, boundary locus, hybrid LMM

Abstract

This paper presents a family of hybrid linear multistep methods (LMM) with a second derivative term for the numerical solution of stiff initial value problems (IVPs) for ordinary differential equations (ODEs). The methods are stiffly stable for the step number k≤ 7.