Local error analysis of Evans–Sanugi, nonlinear one-step methods based on θ-means

DOI10.1080/00207160802255730zbMath1192.65114OpenAlexW2067717435MaRDI QIDQ3568439

Francisco R. Villatoro

Publication date: 11 June 2010

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

Full work available at URL: https://doi.org/10.1080/00207160802255730

zbMATH Keywords

numerical resultsinitial value problemslocal errorclassical meanstruncation error termsnonlinear one-step methodsarithmetic, harmonic, contraharmonic, quadratic, geometric, Heronian, centroidal and logarithmic \(\theta\)-means

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) Means (26E60)

Related Items (1)

Bounds for the combinations of Neuman-Sándor, arithmetic, and second Seiffert means in terms of contraharmonic mean

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• Comparing Numerical Methods for Ordinary Differential Equations

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