A NEW SUPERCLASS OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS

DOI10.1142/S1793557113500344zbMath1290.65056OpenAlexW2060485879WikidataQ62630596 ScholiaQ62630596MaRDI QIDQ5417500

H. Musa, Norazak Senu, Mohamed Bin Suleiman, Fudziah Bt. Ismail, Zarina Bibi Ibrahim

Publication date: 21 May 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557113500344

zbMATH Keywords

numerical resultsstiff ordinary differential equationserror bound\(A\)-stabilityimplicit block methodsuperclass of block backward differentiation 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) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for numerical methods for ordinary differential equations (65L70) Numerical methods for stiff equations (65L04)

Related Items (1)

Stability analysis of a diagonally implicit scheme of block backward differentiation formula for stiff pharmacokinetics models

Cites Work

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• The numerical simulation for stiff systems of ordinary differential equations
• A-stable one-step methods with step-size control for stiff systems of ordinary differential equations
• A criterion for A-stability of linear multistep integration formulae
• A Single Code for the Solution of Stiff and Nonstiff ODE’<scp>s</scp>
• Natural spline block implicit methods
• A special stability problem for linear multistep methods

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