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DISCRETE METHOD FOR SOLVING A THREE-POINT BOUNDARY-VALUE PROBLEM FOR A THIRD-ORDER EQUATION Научная публикация

Журнал Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944
Вых. Данные Год: 2021, Том: 62, Номер: 6, Страницы: 906-911 Страниц : 6 DOI: 10.1134/S0021894421060031
Ключевые слова ADJOINED EQUATION, BOUNDARY-VALUE PROBLEM, DIFFERENCE SCHEME
Авторы Voevodin A.F. 1,2 , Frolovskaya O.A. 1,2
Организации
1 Lavrentyev Institute of Hydrodynamics
2 Novosibirsk State University

Реферат: Adjoined equations are used to develop a method for solving boundary-value problems for second- and third-order equations. With the use of the factorization method, a three-point boundary-value problem for a third-order equation is reduced to a system of first- and second-order equations. In order to solve the second-order equation, a discrete problem is constructed, which is then used to solve the main problem. This method is peculiar because discrete (difference) boundary-value problems are constructed without using approximations of differential operators. The method is generalized to solve higher-order equations.
Библиографическая ссылка: Voevodin A.F. , Frolovskaya O.A.
DISCRETE METHOD FOR SOLVING A THREE-POINT BOUNDARY-VALUE PROBLEM FOR A THIRD-ORDER EQUATION
Journal of Applied Mechanics and Technical Physics. 2021. V.62. N6. P.906-911. DOI: 10.1134/S0021894421060031 WOS Scopus РИНЦ OpenAlex
Оригинальная: Воеводин А.Ф. , Фроловская О.А.
Дискретный метод решения трехточечной краевой задачи для уравнения третьего порядка
Прикладная механика и техническая физика. 2021. Т.62. №6. С.20-26. DOI: 10.15372/pmtf20210603 РИНЦ OpenAlex
Идентификаторы БД:
Web of science: WOS:000761956000003
Scopus: 2-s2.0-85125442852
РИНЦ: 48152559
OpenAlex: W4230699402
Цитирование в БД: Пока нет цитирований
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