A new fifth order explicit runge-kutta method with four stages for solving initial value problems in ODSs

DOI10.1080/00207169708804604zbMath0891.65087OpenAlexW2042276408MaRDI QIDQ4375424

Nazeeruddin Yaacob, David J. Evans

Publication date: 3 July 1998

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

Full work available at URL: https://doi.org/10.1080/00207169708804604

zbMATH Keywords

stability analysisnumerical exampleserror analysisRunge-Kutta methodsnonstiff initial value problemscomposite derivative

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Stability and convergence of numerical methods for ordinary differential equations (65L20) 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)

Cites Work

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• A Theoretical Criterion for Comparing Runge–Kutta Formulas
• A fourth order runge-kutta method based on the heronian mean formula
• Comparing Numerical Methods for Ordinary Differential Equations

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