Volume 7 Number 2 (Apr. 2017)
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IJAPM 2017 Vol.7(2): 128-133 ISSN: 2010-362X
doi: 10.17706/ijapm.2017.7.2.128-133

L0 Stable Trigonometrically Fitted Block Backward Differentiation Formula of Adams Type for Autonomous Oscillatory Problems

Solomon A. Okunuga and R. I. Abdulganiy
Abstract—In this paper, a L0 Stable Second Derivative Trigonometrically Fitted Block Backward Differentiation Formula of Adams Type (SDTFF) of algebraic order 4 is presented for the solution of autonomous oscillatory problems. A Continuous Second Derivative Trigonometrically Fitted (CSDTF) whose coefficients depend on the frequency and step size is constructed using trigonometric basis function. The CSDTF is used to generate the main method and one additional method which are combined and applied in block form as simultaneous numerical integrators. The stability properties of the method are investigated using boundary locus plot. It is found that the method is zero stable, consistent and hence converges. The method is applied on some numerical examples and the result show that the method is accurate and efficient.

Index Terms—Autonomous oscillatory problems, backward differentiation formula, continuous scheme, trigonometrically fitted methods.

The authors are with Department of Mathematics, University of Lagos, Lagos, Nigeria (email: waleokunuga@gmail.com).

Cite: Solomon A. Okunuga and R. I. Abdulganiy, "L0 Stable Trigonometrically Fitted Block Backward Differentiation Formula of Adams Type for Autonomous Oscillatory Problems," International Journal of Applied Physics and Mathematics vol. 7, no. 2, pp. 128-133, 2017.

General Information

ISSN: 2010-362X
Frequency: Bimonthly (2011-2014); Quarterly (Since 2015)
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: Index Copernicus, EI (INSPEC, IET), Chemical Abstracts Services (CAS), Electronic Journals Library, Engineering & Technology Digital Library, Nanowerk Database, Google Scholar and ProQuest
E-mail: ijapm@iap.org
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