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Analytical-numerical approach to describing time-periodic motion of fronts in singularly perturbed reaction–advection–diffusion modelsстатья
Информация о цитировании статьи получена из
Web of Science,
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 26 июня 2019 г.
- Авторы: Volkov V.T., Lukyanenko D.V., Nefedov N.N.
- Журнал: Computational Mathematics and Mathematical Physics
- Том: 59
- Номер: 1
- Год издания: 2019
- Издательство: Pleiades Publishing, Ltd
- Местоположение издательства: Road Town, United Kingdom
- Первая страница: 46
- Последняя страница: 58
- DOI: 10.1134/S0965542519010159
- Аннотация: The paper presents an analytical-numerical approach to the study of moving fronts in singularly perturbed reaction–diffusion–advection models. A method for generating a dynamically adapted grid for the efficient numerical solution of problems of this class is proposed. The method is based on a priori information about the motion and properties of the front, obtained by rigorous asymptotic analysis of a singularly perturbed parabolic problem. In particular, the essential parameters taken into account when constructing the grid are estimates of the position of the transition layer, as well as its width and structure. The proposed analytical-numerical approach can significantly save computer resources, reduce the computation time, and increase the stability of the computational process in comparison with the classical approaches. An example demonstrating the main ideas and methods of application of the proposed approach is considered.
- Добавил в систему: Лукьяненко Дмитрий Витальевич