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

Achar, S.D.2026-02-052011Applied Mathematics and Computation, 2011, 218, 5, pp. 2237-2248963003https://doi.org/10.1016/j.amc.2011.07.040https://idr.nitk.ac.in/handle/123456789/27163In 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.Multi step methodsObrechkoff methodP-stablePeriodicity intervalsPhase lagsSecond-order initial value problemsInitial value problemsDifferential equationsSymmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations