A Fifth Order Runge-Kutta RK(5, 5) Method With Error Control

DOI10.1080/00207160213937zbMath1007.65050OpenAlexW2097095324MaRDI QIDQ4780540

A. R. Yaakub, David J. Evans

Publication date: 20 March 2003

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

Full work available at URL: https://doi.org/10.1080/00207160213937

zbMATH Keywords

comparison of methodsarithmetic meanRunge-Kutta methodserror controlcontraharmonic meanMerson methods

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) Error bounds for numerical methods for ordinary differential equations (65L70)

Related Items (1)

Hole-filler cellular neural network simulation by \(\mathrm{RKGHM}(5,5)\)

Cites Work

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• Weighted fifth-order Runge-Kutta formulas for second-order differential equations
• New runge kutta starters for multistep methods
• A fourth order Runge–Kutta RK(4,4) method with error control
• High order integration formula using trigonometric polynomials for periodic ivps
• THE RUNGE-KUTTA CONTRAHARMONIC MEAN METHOD WITH EXTRAPOLATION FOR THE PARALLEL SOLUTION OF O.D.E.'S
• A new Runge Kutta RK(4, 4) method

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