Symmetric multistep Obrechkoff methods with zero phase-lag for periodic initial value problems of second order differential equations |
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Authors: | Sujatha D Achar |
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Institution: | Department of Mathematical and Computational Sciences, National Institute of Technology, Karnataka, Srinivasnagar, Surathkal 575025, India |
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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 2π times the frequency of the given initial value problem. |
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Keywords: | Symmetric multistep methods Obrechkoff methods Phase-lag Periodicity intervals P-stable Second order initial value problems |
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