Numerical solution of reactive-diffusive systems

DOI10.1080/00207168608803496zbMath0653.65071OpenAlexW2333609906MaRDI QIDQ5903735

Juan I. Ramos

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/00207168608803496

zbMATH Keywords

wave propagationnumerical exampleserror boundsreaction-diffusion equationoperator-splittingComparisonstime linearization

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

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 ⋮ Linearized \(\Theta\)-methods. II: Reaction-diffusion equations ⋮ New lod and adi methods for the two-dimensional diffusion equation ⋮ Linearization methods for reaction-diffusion equations: 1-D problems ⋮ Piecewise-linearized and linearized \(\vartheta\)-methods for ordinary and partial differential equations. ⋮ On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems ⋮ Intermediate boundary conditions in operator-splitting techniques and linearization methods ⋮ A new finite element method for solving compressible Navier-Stokes equations based on an operator splitting method and h-p adaptivity

Cites Work

• A review of some numerical methods for reaction-diffusion equations
• Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit method
• On some accurate finite-difference methods for laminar flame calculations
• Numerical studies of laminar flame propagation in spherical bombs
• Numerical solution of reactive-diffusive systems
• Numerical solution of reactive-diffusive systems
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