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ЖУРНАЛЫ // Журнал вычислительной математики и математической физики // Архив

Ж. вычисл. матем. и матем. физ., 2024, том 64, номер 6, страницы 1353–1365 (Mi zvmmf11780)

Статьи, опубликованные в английской версии журнала

Asymptotic and stability analysis of reaction fronts

H. Rouaha, Y. Joundyb, A. Taika

a Département de Mathématiques, Faculté des Sciences et Techniques de Mohammedia, University Hassan II-Casablanca, PO Box146, Mohammedia, Morocco
b Faculté Polydisciplinaire Sidi Bennour, Université Chouaïb Doukkali, El Jadida, Morocco

Аннотация: The influence of certain parameters on the stability conditions of the reaction front in a porous medium is studied in this article. The mathematical model includes the heat equation, the concentration equation and the equations of motion under the Boussinesq–Darcy approximation. An asymptotic analysis was carried out using the method of Zeldovich and Frank–Kamentskii to obtain the interface problem. A stability analysis was performed to determine a linearized problem that will be solved numerically using the finite difference method with an implicit scheme. This will allow to conclude the effect of each parameter on the stability of the front, in particular the amplitude and the frequency of the vibrations.

Ключевые слова: asymptotic analysis, stability analysis, frontal polymerization, reaction-diffusion equations, finite difference method.

Поступила в редакцию: 26.12.2023
Исправленный вариант: 24.01.2024
Принята в печать: 18.07.2024

Язык публикации: английский


 Англоязычная версия: Computational Mathematics and Mathematical Physics, 2024, 64:6, 1353–1365


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