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Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems


Citation

Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak and Ibrahim, Zarina Bibi (2017) Semi implicit hybrid method with vanishing phase-lag and amplification error for solving second order oscillatory problems. International Journal of Applied Engineering Research, 12 (20). 9666 - 9673. ISSN 0973-4562; ESSN: 1087-1090

Abstract / Synopsis

In this paper, we derived a semi-implicit hybrid method for solving special second order ordinary differential equations. The method is four-stage fifth-order with phase-lag or dispersion of order eight and dissipation or amplification of order seven. Modifications on the phase-lag and amplification error of order zero are infused to the method to improve the efficiency of the method. Hence resulting in a semi-implicit hybrid method with zero phase-lag and amplification error which is suitable for solving highly oscillatory problems over a very large interval.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Research India Publications
Keywords: Semi-Implicit hybrid method; Two-step method; Phase-lag; Amplification error; Oscillatory problems
Depositing User: Mohd Hafiz Che Mahasan
Date Deposited: 24 Sep 2018 16:49
Last Modified: 24 Sep 2018 16:49
URI: http://psasir.upm.edu.my/id/eprint/63194
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