On the numerical solution of initial value problems for nonlinear trapezoidal formulas with different types

DOI10.1080/0020716031000148188zbMath1045.65056OpenAlexW2162063307MaRDI QIDQ4460610

Mustafa Inc, Necdet Bıldık

Publication date: 18 May 2004

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

Full work available at URL: https://doi.org/10.1080/0020716031000148188

zbMATH Keywords

stabilityinitial value problemlogarithmic meanarithmetic meangeometric meanharmonic meanlocal truncation errorsroot mean squareHeronian meancentroidal meannonlinear trapezoidal formula

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

Related Items (3)

Exact finite-difference methods based on nonlinear means ⋮ Local error analysis of Evans–Sanugi, nonlinear one-step methods based on θ-means ⋮ Stability by order stars for non-linear theta-methods based on means

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