Numerical solution of reactive-diffusive systems

DOI10.1080/00207168508803478zbMath0653.65069OpenAlexW2101928401MaRDI QIDQ5903733

Juan I. Ramos

Publication date: 1985

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207168508803478

zbMATH Keywords

wave propagationnumerical exampleserror boundsreaction-diffusion equationexplicit methodsexplicit predictor-corrector methodmodified Saul'yev average scheme

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (7)

Modified equation techniques for reactive-diffusive systems. I: Explicit, implicit and quasilinear methods ⋮ Modified equation techniques for reaction-diffusive systems. II: Time- linearization and operator-splitting methods ⋮ Asymptotic behavior of solutions for finite-difference equations of reaction-diffusion ⋮ On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems ⋮ Numerical solution of a nonlinear reaction-diffusion equation ⋮ Numerical solution of reactive-diffusive systems ⋮ Numerical solution of reactive-diffusive systems

Cites Work

• Unnamed Item
• A review of some numerical methods for reaction-diffusion equations
• Time-dependent solution of a premixed laminar flame
• Application of the finite-element method to one-dimensional flame propagation problems
• On some accurate finite-difference methods for laminar flame calculations
• Development and application of an adaptive finite element method to reaction-diffusion equations
• Numerical studies of laminar flame propagation in spherical bombs

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