Class 2 + 1 hybrid BDF-like methods for the numerical solutions of ordinary differential equations

DOI10.1007/s10092-011-0038-9zbMath1239.65043OpenAlexW2120136555MaRDI QIDQ408977

M. Y. Gokhale, Moosa Ebadi

Publication date: 12 April 2012

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-011-0038-9

zbMATH Keywords

numerical resultsA-stabilitystiff systemserror boundbackward differentiation formulaegeneral multistep methodsoff-step point

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 (9)

Convergence of one-leg hybrid methods for implicit mixed differential algebraic systems ⋮ New class of hybrid BDF methods for the computation of numerical solutions of IVPs ⋮ New class of hybrid explicit methods for numerical solution of optimal control problems ⋮ A class of two stage multistep methods in solutions of time dependent parabolic PDEs ⋮ A class of multistep methods based on a super-future points technique for solving IVPs ⋮ Unnamed Item ⋮ G-stability one-leg hybrid methods for solving DAEs ⋮ Solving nonlinear parabolic PDEs via extended hybrid BDF methods ⋮ Hybrid special class for solving differential-algebraic equations

Uses Software

• MEBDF
• RODAS
• A-EBDF
• DESIRE
• DESI

Cites Work

• Unnamed Item
• Unnamed Item
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• Applications of doubly companion matrices
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• Diagonally Implicit Runge–Kutta Methods for Stiff O.D.E.’s
• A special family of Runge-Kutta methods for solving stiff differential equations
• DESI methods for stiff initial-value problems
• An MEBDF code for stiff initial value problems
• Solving Nonlinear Equations with Newton's Method
• Hybrid BDF methods for the numerical solutions of ordinary differential equations

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