Explicit Integrator of Runge-Kutta Type for Direct Solution of <i>u</i><sup>(4)</sup> = <i>f</i>(<i>x</i>, <i>u</i>, <i>u</i>′, <i>u</i>″)

Explicit Integrator of Runge-Kutta Type for Direct Solution of <i>u</i><sup>(4)</sup> = <i>f</i>(<i>x</i>, <i>u</i>, <i>u</i>′, <i>u</i>″)

The primary contribution of this work is to develop direct processes of explicit Runge-Kutta type (RKT) as solutions for any fourth-order ordinary differential equation (ODEs) of the structure <inline-formula> <math display="inline"> <semantics> <mrow> <msup>...

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Bibliographic Details
Main Authors: Nizam Ghawadri, Norazak Senu, Firas Adel Fawzi, Fudziah Ismail, Zarina Bibi Ibrahim
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Symmetry
Subjects:
Runge-Kutta type methods
fourth-order ODEs
order conditions
B-series
quad-colored trees
Online Access:https://www.mdpi.com/2073-8994/11/2/246

Internet

https://www.mdpi.com/2073-8994/11/2/246

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