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Solving second order delay differential equations by direct two and three point one-step block method


Citation

Rasdi, Nadzirah and Abdul Majid, Zanariah and Ismail, Fudziah and Senu, Norazak and Phang, Pei See and Mohd Radzi, Hazwani (2013) Solving second order delay differential equations by direct two and three point one-step block method. Applied Mathematical Sciences, 7 (54). pp. 2647-2660. ISSN 1312-885X; ESSN: 1314-7552

Abstract

In this paper we present a two point and three point one-step block method for solving second order delay differential equations (DDEs). The one-step block method will solve directly the second order DDEs without reducing to first order equations. The two point and three point one-step block method will compute the solutions for the DDEs at two and three points simultaneously along the interval. These methods will solve the retarded type of DDE of single delay using constant step size. The P- stability and Q-stability are also discussed. The numerical results are presented to illustrate the performance of those block method for solving delay differential equations.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Hikari Ltd
Keywords: Delay differential equations; Two point block; Direct method.
Depositing User: Umikalthom Abdullah
Date Deposited: 26 Aug 2014 02:47
Last Modified: 30 Oct 2015 03:21
URI: http://psasir.upm.edu.my/id/eprint/30194
Statistic Details: View Download Statistic

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