Solving oscillating problems using modifying runge-kutta methods

This paper develop conventional Runge-Kutta methods of order four and order five to solve ordinary differential equations with oscillating solutions. The new modified Runge-Kutta methods (MRK) contain the invalidation of phase lag, phase lag's derivatives, and amplification error. Numerical tes...

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Bibliographic Details
Published in:	Ibn Al-Haitham Journal for Pure and Applied Sciences Vol. 34; no. 4; pp. 58 - 67
Main Authors:	Ghazal, Zainab Khalid, Husayn, Qasim Abbas
Format:	Journal Article
Language:	English
Published:	بغداد، العراق جامعة بغداد، كلية التربية ابن الهيثم 20-10-2021 University of Baghdad
Subjects:	explicit runge-kutta methods, oscillating problems phase-lag properties المعادلات التفاضلية طرق رونج-كوتا
Online Access:	Get full text
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Summary:	This paper develop conventional Runge-Kutta methods of order four and order five to solve ordinary differential equations with oscillating solutions. The new modified Runge-Kutta methods (MRK) contain the invalidation of phase lag, phase lag's derivatives, and amplification error. Numerical tests from their outcomes show the robustness and competence of the new methods compared to the well-known Runge-Kutta methods in the scientific This paper develop conventional Runge-Kutta methods of order four and order five to solve ordinary differential equations with oscillating solutions. The new modified Runge-Kutta methods (MRK) contain the invalidation of phase lag, phase lag's derivatives, and amplification error. Numerical tests from their outcomes show the robustness and competence of the new methods compared to the well-known Runge-Kutta methods in the scientific literature.
ISSN:	1609-4042 2521-3407
DOI:	10.30526/34.4.2703