Non-Fickian delay reaction-diffusion equations: theoretical and numerical study
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Publication:973088
DOI10.1016/j.apnum.2010.01.003zbMath1197.65221OpenAlexW2091637383MaRDI QIDQ973088
Publication date: 28 May 2010
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2010.01.003
stabilityconvergencetime delaynumerical examplesFisher's equationVolterra integro-differential equationFick's lawnonlinear delay reaction diffusion equation
Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Volterra integral equations (45D05)
Related Items (8)
A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations ⋮ Long time behavior of non-Fickian delay reaction-diffusion equations ⋮ Analytics and numerics of drug release tracking ⋮ Stability of exact and discrete energy for non-Fickian reaction-diffusion equations with a variable delay ⋮ A Posteriori Error Analysis for Crank--Nicolson--Galerkin Type Methods for Reaction-Diffusion Equations with Delay ⋮ Delay-dependent elliptic reconstruction and optimal 𝐿^{∞}(𝐿²) a posteriori error estimates for fully discrete delay parabolic problems ⋮ Exact and numerical stability analysis of reaction-diffusion equations with distributed delays ⋮ Dissipativity ofθ-methods for a class of advection–reaction–diffusion equations with both fixed and distributed delays
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