A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems

Citation

Fawzi, F. A. and Senu, N. and Ismail, F. and Majid, Z. A. (2016) A new embedded phase-fitted modified Runge-Kutta method for the numerical solution of oscillatory problems. Applied Mathematical Sciences, 10 (44). pp. 2157-2178. ISSN 1312-885X; ESSN: 1314-7552

Abstract

In this work, a new way for constructing an efficiently modified Runge-Kutta (RK) method to solve first-order ordinary differential equations with oscillatory solutions is provided. The proposed method solves the first-order ODEs by first converting the second order ODEs to an equivalent first-order ODEs. The method of the embedded has algebraic orders five and four. The numerical results of the new method have been compared with those of existing methods and showed that the new method is more efficient.

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Additional Metadata

Item Type:	Article
Divisions:	Faculty of Science
DOI Number:	https://doi.org/10.12988/ams.2016.64146
Publisher:	Hikari
Keywords:	Embedded runge–kutta methods; Variable step-size; Oscil- latory problems
Depositing User:	Mohd Hafiz Che Mahasan
Date Deposited:	28 May 2018 01:57
Last Modified:	28 May 2018 07:28
Altmetrics:	http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.12988/ams.2016.64146
URI:	http://psasir.upm.edu.my/id/eprint/54872
Statistic Details:	View Download Statistic

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