|
ИСТИНА |
Войти в систему Регистрация |
Интеллектуальная Система Тематического Исследования НАукометрических данных |
||
Regularization of the Ill-Posed Cauchy Problem for Matrix Factorizations of the Helmholtzстатья
Дата последнего поиска статьи во внешних источниках: 17 августа 2021 г.
- Авторы: Juraev D.A., Noeiaghdam S.
- Журнал: Axioms
- Том: 10
- Номер: 2
- Год издания: 2021
- Первая страница: 1
- Последняя страница: 14
- Номер статьи: 82
- DOI: 10.3390/axioms10020082
- Аннотация: In this paper, we present an explicit formula for the approximate solution of the Cauchy problem for the matrix factorizations of the Helmholtz equation in a bounded domain on the plane. Our formula for an approximate solution also includes the construction of a family of fundamental solutions for the Helmholtz operator on the plane. This family is parameterized by function K(w) which depends on the space dimension. In this paper, based on the results of previous works, the better results can be obtained by choosing the function K(w).
- Добавил в систему: Жураев Даврон Аслонкулович