On one approximate solution of a nonlocal boundary value problem for the Benjamin-Bon-Mahoney equation
Бенджамин-Бон-Махони теңдеуi үшiн бейлокал шеттiк есептiң бiр жуық шешiмi жайында
Об одном приближенном решении нелокальной краевой задачи для уравнения Бенджамина-Бона-Махони
Manat A.M. Orumbayeva N.T.
2023E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2023#110Issue 284 - 92 pp.
The paper investigates a non-local boundary value problem for the Benjamin-Bona-Mahony equation. This equation is a nonlinear pseudoparabolic equation of the third order with a mixed derivative. To find a solution to this problem, an algorithm for finding an approximate solution is proposed. Sufficient conditions for the feasibility and convergence of the proposed algorithm are established, as well as the existence of an isolated solution of a non-local boundary value problem for a nonlinear equation. Estimates are obtained between the exact and approximate solution of this problem. All rights reserved
algorithm , approximate solution , Benjamin-Bona-Mahony equation , partial differential equation
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Karaganda University of the Name of Academician E.A. Buketov, Institute of Applied Mathematics, Karaganda, Kazakhstan
Karaganda University of the Name of Academician E.A. Buketov
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