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

DISCRETE METHOD FOR SOLVING A THREE-POINT BOUNDARY-VALUE PROBLEM FOR A THIRD-ORDER EQUATION Full article

Journal

Journal of Applied Mechanics and Technical Physics
ISSN: 0021-8944

Output data

Year: 2021, Volume: 62, Number: 6, Pages: 906-911 Pages count : 6 DOI: 10.1134/S0021894421060031

Tags

ADJOINED EQUATION, BOUNDARY-VALUE PROBLEM, DIFFERENCE SCHEME

Authors

Voevodin A.F. ^1,2 , Frolovskaya O.A. ^1,2

Affiliations

1	Lavrentyev Institute of Hydrodynamics
2	Novosibirsk State University

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.

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

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

Web of science:	WOS:000761956000003
Scopus:	2-s2.0-85125442852
Elibrary:	48152559
OpenAlex:	W4230699402

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