Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem
Argun, R. L. 1Volkov, V. T. 1Lukyanenko, D., V1
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作者信息
1. Lomonosov Moscow State Univ
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Abstract
A new approach to the numerical simulation of the reaction front motion in a nonlinear singularly perturbed partial differential equation of the reaction-diffusion type is proposed. It is shown how the methods of asymptotic analysis allow reducing the statement of the original problem to a problem of a smaller dimension, the numerical solving of which uses methods of diagnostics of the solution's blow-up. Numerical experiments demonstrate the effectiveness of the proposed approach. (C) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier