On efficient frequency-dependent parameters of explicit two-derivative improved Runge-Kutta-Nystro¨m method with application to two-body problem

On efficient frequency-dependent parameters of explicit two-derivative improved Runge-Kutta-Nystro¨m method with application to two-body problem

Efficient trigonometrically-fitted explicit two-derivative improved Runge–Kutta-Nystro¨m methods with three stage fifth-order, denoted as TFTDIRKN5 method is derived for direct solving special type of second-order ordinary differential equation in the form y′(t)=f(t,y(t)) with oscillatory solution....

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Bibliographic Details
Main Authors: K.C. Lee, M.A. Alias, N. Senu, A. Ahmadian
Format: Article
Language:English
Published: Elsevier 2023-06-01
Series:Alexandria Engineering Journal
Subjects:
Two-derivative improved Runge–Kutta-Nystro¨m methods
Trigonometrically-fitted
Second-order ordinary differential equations
Stability
Consistency
Periodic problem
Online Access:http://www.sciencedirect.com/science/article/pii/S1110016823003009

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http://www.sciencedirect.com/science/article/pii/S1110016823003009

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