Matrix free MEBDF method for the solution of stiff systems of ODEs

DOI10.1016/S0895-7177(99)00040-0zbMath0992.65081OpenAlexW2091683913MaRDI QIDQ1596897

Mohammed Hosseini Ali Abadi, Gholamreza Hojjati

Publication date: 5 May 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(99)00040-0

zbMATH Keywords

method of linesNewton methodLU factorizationbackward differentiation formulamatrix freelarge stiff systems

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (10)

Generalized second derivative linear multistep methods for ordinary differential equations ⋮ A-EBDF: An adaptive method for numerical solution of stiff systems of ODEs ⋮ Jacobian-free high order local linearization methods for large systems of initial value problems ⋮ Adaptive linear barycentric rational finite differences method for stiff ODEs ⋮ Numerical solution of some stiff systems arising in chemistry via Taylor wavelet collocation method ⋮ On the stability functions of second derivative implicit advanced-step point methods ⋮ New second derivative multistep methods for stiff systems ⋮ Second derivative backward differentiation formulae for ODEs based on barycentric rational interpolants ⋮ Rational homotopy perturbation method for solving stiff systems of ordinary differential equations ⋮ CONSTRUCTION OF NORDSIECK SECOND DERIVATIVE GENERAL LINEAR METHODS WITH INHERENT QUADRATIC STABILITY

Uses Software

• MEBDF

Cites Work

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• The integration of stiff initial value problems in ODEs using modified extended backward differentiation formulae
• On the integration of stiff systems of O.D.E.s using extended backward differentiation formulae
• Krylov Subspace Methods for Solving Large Unsymmetric Linear Systems
• Algorithm 703: MEBDF
• Matrix-Free Methods for Stiff Systems of ODE’s
• Balancing Space and Time Errors in the Method of Lines for Parabolic Equations
• Local Extrapolation in the Solution of Ordinary Differential Equations

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