A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations

Citation

Ahmad, Sufia Zulfa and Ismail, Fudziah and Senu, Norazak (2016) A four-stage fifth-order trigonometrically fitted semi-implicit hybrid method for solving second-order delay differential equations. Mathematical Problems in Engineering, 2016. art. no. 2863295. pp. 1-7. ISSN 1024-123X; ESSN: 1563-5147

Abstract

We derived a two-step, four-stage, and fifth-order semi-implicit hybrid method which can be used for solving special second-order ordinary differential equations. The method is then trigonometrically fitted so that it is suitable for solving problems which are oscillatory in nature. The methods are then used for solving oscillatory delay differential equations. Numerical results clearly show the efficiency of the new method when compared to the existing explicit and implicit methods in the scientific literature.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science Institute for Mathematical Research
DOI Number:	https://doi.org/10.1155/2016/2863295
Publisher:	Hindawi Publishing Corporation
Keywords:	Semi-implicit; Hybrid method; Trigonometrically fitted; Second-order delay differential equations
Depositing User:	Nabilah Mustapa
Date Deposited:	05 Jun 2017 09:35
Last Modified:	05 Jun 2017 09:35
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2016/2863295
URI:	http://psasir.upm.edu.my/id/eprint/52364
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