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Numerical method for the solution of integral equations in a problem with directional derivative for the Laplace equation outside open curvesстатья
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: 19 декабря 2016 г.
- Авторы: Krutitskii P.A., Kolybasova V.V.
- Журнал: Differential Equations
- Том: 52
- Номер: 9
- Год издания: 2016
- Издательство: Pleiades Publishing, Inc.
- Местоположение издательства: New York, USA
- Первая страница: 1262
- Последняя страница: 1276
- DOI: 10.1134/S0012266116090135
- Аннотация: By using a simple layer potential and an angular potential, one can reduce the problem with a directional derivative for the Laplace equation outside several open curves on the plane to a uniquely solvable system of integral equations that consists of an integral equation of the second kind and additional integral conditions. The kernel in the integral equation of the second kind contains singularities and can be represented as a Cauchy singular integral. We suggest a numerical method for solving a system of integral equations. Quadrature formulas for the logarithmic and angular potentials are represented. The quadrature formula for the logarithmic potential preserves the property of its continuity across the boundary (open curves).
- Добавил в систему: Колыбасова Валентина Викторовна