A new 3-stage fourth order runge-kutta composite method for solving initial value problems

DOI10.1080/00207169908804875zbMath0949.65074OpenAlexW2039529820MaRDI QIDQ4944669

Nazeeruddin Yaacob, David J. Evans

Publication date: 21 March 2000

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

Full work available at URL: https://doi.org/10.1080/00207169908804875

zbMATH Keywords

stabilitynumerical examplelocal truncation errorcomposite Runge-Kutta methods

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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• Computer Generation of Random Variables Using the Ratio of Uniform Deviates
• A new fourth order runge-kutta formula based on the harmonic mean
• A fourth order runge-kutta method based on the heronian mean formula

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