Modified numerical methods based on arithmetic and geometric means

DOI10.1016/0893-9659(91)90034-SzbMath0724.65078OpenAlexW1993812955MaRDI QIDQ758140

Abdul-Majid Wazwaz

Publication date: 1991

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(91)90034-s

zbMATH Keywords

numerical examplesSimpson's ruletrapezoidal formulafourth order Runge-Kutta methodRomberg integrationarithmetic mean averaginggeometric mean averaging

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)

Cites Work

• Unnamed Item
• New Runge-Kutta methods for initial value problems
• A modified third order Runge-Kutta method
• A new fourth order Runge-Kutta formula for \(y'=Ay\) with stepsize control

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