A review of some numerical methods for reaction-diffusion equations

DOI10.1016/0378-4754(83)90127-1zbMath0522.65073OpenAlexW2066254682MaRDI QIDQ1056210

Juan I. Ramos

Publication date: 1983

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4754(83)90127-1

zbMATH Keywords

finite element methodreaction-diffusion equationsreviewCrank-Nicolson methodtruncation errorstraveling wave solutionoperator-splitting techniquesfixed-node finite-difference schemessemi-discrete Galerkin approximationtime-linearization schemes

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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, A p‐adaptive, implicit‐explicit mixed finite element method for diffusion‐reaction problems, Unconditionally positive, explicit, fourth order method for the diffusion- and Nagumo-type diffusion-reaction equations, On the accuracy of block implicit and operator-splitting algorithms in confined flame propagation problems, Numerical solution of reactive-diffusive systems, Numerical solution of reactive-diffusive systems, Numerical solution of reactive-diffusive systems

Cites Work

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