Weighted fifth-order Runge-Kutta formulas for second-order differential equations

DOI10.1080/00207169808804748zbMath0917.65070OpenAlexW2164544589MaRDI QIDQ4236106

A. R. Yaakub, David J. Evans

Publication date: 25 July 1999

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169808804748

zbMATH Keywords

second-order differential equationsRunge-Kutta methodsexplicit Runge-Kutta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (6)

A Fifth Order Runge-Kutta RK(5, 5) Method With Error Control ⋮ Numerical strategies for the system of first-order IVPS using the RK–Butcher algorithm ⋮ Observer design of singular systems (transistor circuits) using the RK–Butcher algorithms ⋮ RK–Butcher algorithms for singular system-based electronic circuit ⋮ Non-linear singular systems using RK–Butcher algorithms ⋮ Optimal control of singular systems using the rk–butcher algorithm

Cites Work

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• New numerical methods for a special class of second order odes
• A class of block methods for second order IVPs^∗:

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