Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs

Citation

Ismail, Fudziah and Salih, Mohammed M. (2013) Diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ODEs. In: 3rd International Conference on Mathematical Sciences (ICMS3), 17-19 Dec. 2013, Kuala Lumpur, Malaysia. (pp. 1226-1231).

Abstract

In this paper we derived a new diagonally implicit Runge-Kutta method of order four with minimum phase-lag for solving first order linear ordinary differential equation. The stability polynomial of the method is obtained and the stability region is presented. A set of problems are tested upon and numerical results proved that the method is more accurate compared to other well known methods in the scientific literature.

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Additional Metadata

Item Type:	Conference or Workshop Item (Paper)
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.1063/1.4885049
Publisher:	AIP Publishing LLC
Keywords:	Diagonally implicit Runge-Kutta method; Linear ordinary differential equations; Phase-lag
Depositing User:	Nabilah Mustapa
Date Deposited:	27 Sep 2017 10:32
Last Modified:	27 Sep 2017 10:32
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4885049
URI:	http://psasir.upm.edu.my/id/eprint/57430
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