Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction-advection-diffusion models

DOI10.1134/S0965542519010159zbMath1422.65299OpenAlexW2945231778MaRDI QIDQ2314192

V. T. Volkov, Dmitry V. Lukyanenko, Nikolai N. Nefedov

Publication date: 19 July 2019

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542519010159

zbMATH Keywords

singular perturbationsanalytical-numerical methodmoving frontsreaction-diffusion-advection models

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Moving boundary problems for PDEs (35R37)

Related Items (10)

Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem ⋮ Asymptotic solution of the inverse problem for restoring the modular type source in Burgers' equation with modular advection ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ On the features of numerical solution of coefficient inverse problems for nonlinear equations of the reaction-diffusion-advection type with data of various types ⋮ Asymptotic solution of coefficient inverse problems for Burgers-type equations ⋮ Internal layer for a singularly perturbed equation with discontinuous right-hand side ⋮ Multidimensional thermal structures in the singularly perturbed stationary models of heat and mass transfer with a nonlinear thermal diffusion coefficient ⋮ Application of a numerical-asymptotic approach to the problem of restoring the parameters of a local stationary source of anthropogenic pollution ⋮ Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications

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