New L-stable method for numerical solutions of ordinary differential equations

DOI10.1016/J.AMC.2006.10.055zbMath1121.65083OpenAlexW4251443370MaRDI QIDQ2371490

Mustafa Inc

Publication date: 4 July 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.10.055

zbMATH Keywords

numerical resultsA-stabilitylinear multistep methodsinitial-value problemsL-stabilitytrapezoidal rule

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)

Related Items (1)

Higher order time integration formula with application on Burgers’ equation

Cites Work

• An \(A\)-stable extended trapezoidal rule for the integration of ordinary differential equations
• On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
• A class of stabilized extended one-step methods for the numerical solution of ODEs
• Extended double-stride \(L\)-stable methods for the numerical solution of ODEs
• 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
• A two step method for the numerical integration of stiff differential equations
• A special stability problem for linear multistep methods

This page was built for publication: New L-stable method for numerical solutions of ordinary differential equations