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Nonlinear reaction-diffusion equations with delay: some theorems, test problems, exact and numerical solutionsстатья
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: 10 апреля 2018 г.
- Авторы: Polyanin A.D., Sorokin V.G.
- Журнал: Journal of Physics: Conference Series
- Том: 937
- Год издания: 2017
- Издательство: IOP Publishing
- Местоположение издательства: [Bristol, UK], England
- Первая страница: 012041
- DOI: 10.1088/1742-6596/937/1/012041
- Аннотация: The paper deals with nonlinear reaction-diffusion equations with one or several delays. We formulate theorems that allow constructing exact solutions for some classes of these equations, which depend on several arbitrary functions. Examples of application of these theorems for obtaining new exact solutions in elementary functions are provided. We state basic principles of construction, selection, and use of test problems for nonlinear partial differential equations with delay. Some test problems which can be suitable for estimating accuracy of approximate analytical and numerical methods of solving reaction-diffusion equations with delay are presented. Some examples of numerical solutions of nonlinear test problems with delay are considered.
- Добавил в систему: Левитин Александр Леонидович