Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations

Abstract

In this paper, symmetric multistep Obrechkoff methods of orders 8 and 12, involving a parameter p to solve a special class of second order initial value problems in which the first order derivative does not appear explicitly, are discussed. It is shown that the methods have zero phase-lag when p is chosen as 2? times the frequency of the given initial value problem. 2011 Elsevier Inc. All rights reserved.