Stability and asymptotic behavior of a numerical solution corresponding to a diffusion-reaction equation solved by a finite difference scheme (Crank-Nicolson)

DOI10.1016/0898-1221(90)90217-8zbMath0711.65071OpenAlexW2015527013MaRDI QIDQ922656

J. M. Valleton, J. C. Vincent, M. Choubane, Yves Cherruault

Publication date: 1990

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(90)90217-8

zbMATH Keywords

stability convergence finite differences asymptotic behaviour nonlinear partial differential equations numerical algorithm biochemistry Crank-Nicolson procedure

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Biochemistry, molecular biology (92C40) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)

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Unnamed Item ⋮ Stability estimate for a nonlinear coupled heat transfer model ⋮ A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting ⋮ A linearly implicit predicator-corrector method for reaction-diffusion equations ⋮ Stability analysis and numerical simulation of 1-D and 2-D radial flow towards on oil well ⋮ Smoothing with positivity-preserving Padé schemes for parabolic problems with nonsmooth data ⋮ Finite volume schemes for multilayer diffusion ⋮ Fourier spectral exponential time differencing methods for multi-dimensional space-fractional reaction-diffusion equations ⋮ The locally extrapolated exponential time differencing LOD scheme for multidimensional reaction-diffusion systems

Cites Work

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