Solving convection and convection-reaction problems using the method of lines

DOI10.1016/0168-9274(95)00118-2zbMath0857.65095OpenAlexW1983930829MaRDI QIDQ1917445

J. M. Ware, Martin Berzins

Publication date: 9 March 1997

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-9274(95)00118-2

zbMATH Keywords

method of linesoperator splittingconvection-reaction problemsknock-modelling combustion problemsoftware package SPRINT2Dspace-time controlspatial finite volume discretization

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Combustion (80A25) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (4)

An algorithm for ODEs from atmospheric dispersion problems ⋮ Computational modelling of thermal stability in a reactive slab with reactant consumption ⋮ MOL solvers for hyperbolic PDEs with source terms ⋮ Application of approximate matrix factorization to high order linearly implicit Runge-Kutta methods

Uses Software

• SPRINT2D

Cites Work

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• New NAG library software for first-order partial differential equations
• Temporal Error Control for Convection-Dominated Equations in Two Space Dimensions
• Balancing Space and Time Errors in the Method of Lines for Parabolic Equations

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