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Asymptotic-Numerical Method for the Location and Dynamics of Internal Layers in Singular Perturbed Parabolic Problemsстатья Глава в книге
Информация о цитировании статьи получена из
Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 17 октября 2017 г.
- Авторы: Vladimir Volkov, Dmitry Lukyanenko, Nikolay Nefedov
- Журнал: Lecture Notes in Computer Science
- Том: 10187
- Год издания: 2017
- Первая страница: 721
- Последняя страница: 729
- DOI: 10.1007/978-3-319-57099-0_83
- Аннотация: A singularly perturbed initial-boundary value problem for the parabolic reaction-diffusion-advection (RDA) equation is considered. Some effective asymptotic-numerical approach for the description of internal layers location and moving fronts dynamics is proposed. Asymptotic analysis allows to reduce the spatial dimension of the numerical problem and highlight a priori information to optimize numerical calculations and save computational resources. But for some classes of RDA problems, featuring the internal layers or moving fronts, the layers location or fronts speed could not be found explicitly and asymptotic algorithm needs to be supplemented by the appropriate numerical calculations. In this paper we show the main ideas of the asymptotic algorithm for this type of solutions and outline some problems which need to use numerical calculations on some steps of the asymptotic procedure. The main features of numerical algorithm are presented.
- Добавил в систему: Волков Владимир Тарасович