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

KC Lee, MA Alias, N Senu, A Ahmadian - Alexandria Engineering Journal, 2023 - Elsevier
Efficient trigonometrically-fitted explicit two-derivative improved Runge–Kutta-Nystr o¨ m
methods with three stage fifth-order, denoted as TFTDIRKN5 method is derived for direct …

[PDF][PDF] Phase fitted and amplification fitted of Runge-Kutta-Fehlberg method of order 4 (5) for solving oscillatory problems

M Salih, F Ismail, N Senu - Baghdad Science Journal, 2020 - iasj.net
In this paper, the proposed phase fitted and amplification fitted of the Runge-Kutta-Fehlberg
method were derived on the basis of existing method of 4 (5) order to solve ordinary …

Efficient Embedded Diagonal Implicit Runge-Kutta Method for Directly Solving Third Order ODEs

FA Fawzi, HM Globe… - Ibn AL-Haitham Journal …, 2024 - jih.uobaghdad.edu.iq
This paper presents two important contributions to the field of numerical analysis for third-
order ordinary differential equations (ODEs). First, a new class of direct implicit Runge-Kutta …