DOAJ Open Access 2023

On one approximate solution of a nonlocal boundary value problem for the Benjamin-Bon-Mahoney equation

A.M. Manat N.T. Orumbayeva

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

A.M. Manat

N.T. Orumbayeva

Format Sitasi

APA MLA BibTeX

Manat, A., Orumbayeva, N. (2023). On one approximate solution of a nonlocal boundary value problem for the Benjamin-Bon-Mahoney equation. https://doi.org/10.31489/2023M2/84-92

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.31489/2023M2/84-92
Akses: Open Access ✓