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Дифференциальные уравнения, динамические системы и оптимальное управление
About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition
A. K. Bazzaevab, D. K. Gutnovab a North Ossetian State University after K.L. Khetagurov, 44-46, Vatutina str., Vladikavkaz, 362025, North Ossetia – Alania, Russia
b Vladikavkaz Institute of Management, 14, Borodinskaya str., Vladikavkaz, 362025, North Ossetia – Alania, Russia
Аннотация:
A nonlocal boundary value problem for a third-order pseudo-parabolic equation with variable coefficients is considered. For solving this problem, a priori estimates in the differential and difference forms are obtained. The obtained a priori estimates imply the uniqueness and stability of the solution on a layer with respect to the initial data and the right-hand side and the convergence of the solution of the difference problem to the solution of the differential problem.
Ключевые слова:
boundary value problem, a nonlocal boundary value problem, a nonlocal condition, a third-order pseudo-parabolic equation, difference schemes, stability and convergence of difference schemes, a priori estimates, energy inequality method.
Поступила 13 июля 2020 г., опубликована 25 мая 2021 г.
Образец цитирования:
A. K. Bazzaev, D. K. Gutnova, “About convergence of difference schemes for a third-order pseudo-parabolic equation with nonlocal boundary value condition”, Сиб. электрон. матем. изв., 18:1 (2021), 548–560
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/semr1380 https://www.mathnet.ru/rus/semr/v18/i1/p548
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