A class of stabilized extended one-step methods for the numerical solution of ODEs

DOI10.1016/0898-1221(95)00048-4zbMath0928.65085OpenAlexW2035834623MaRDI QIDQ1894206

M. A. Al-Zanaidi, M. M. Chawla, M. S. Al-Sahhar

Publication date: 13 January 2000

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00048-4

zbMATH Keywords

numerical examples\(A\)-stabilitylinear multistep methods\(L\)-stabilityorder barrierextended one-step 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)

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Cites Work

• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• Extended one-step methods for the numerical solution of ordinary differential equations
• Extended a-stable two-step methods for the numerical solution of ordinary differential equations
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