Linearized \(\Theta\)-methods. II: Reaction-diffusion equations

DOI10.1016/S0045-7825(96)01043-2zbMath0891.76061OpenAlexW2136869306MaRDI QIDQ1365637

C. M. García-López, Juan I. Ramos

Publication date: 2 August 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(96)01043-2

zbMATH Keywords

tridiagonal matricesoperator-splitting methodsalgebraic nonlinear reaction termsdelta formulationone-dimensional confined laminar flame

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Combustion (80A25) Reaction effects in flows (76V05)

Related Items (8)

Linearized \(\Theta\)-methods. II: Reaction-diffusion equations ⋮ Numerical simulation of reaction-diffusion systems by modified cubic B-spline differential quadrature method ⋮ Numerical simulation to capture the pattern formation of coupled reaction-diffusion models ⋮ Comparison of implicit-explicit and Newton linearized variable two-step BDF methods for semilinear parabolic equations ⋮ Wavelets computational modeling of nonlinear coupled reaction–diffusion models arising in chemical processes ⋮ Trigonometric cubic B-spline collocation algorithm for numerical solutions of reaction-diffusion equation systems ⋮ Linearized factorization techniques for multidimensional reaction-diffusion equations ⋮ Intermediate boundary conditions in operator-splitting techniques and linearization methods

Cites Work

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• On the structure and use of linearized block implicit schemes
• Linearized \(\Theta\)-methods. II: Reaction-diffusion equations
• Linearized \(\Theta\)-methods. I: Ordinary differential equations
• Application of the finite-element method to one-dimensional flame propagation problems
• On some accurate finite-difference methods for laminar flame calculations
• On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems
• An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
• Finite‐difference methods for solving the reaction‐diffusion equations of a simple isothermal chemical system
• Numerical solution of reactive-diffusive systems

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