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Analysis of Nonlocal Problem for Loaded Parabolic Equation via Numerical Method
Автор(ы)
Saule Kuanysh
Дата публикации
1 октября 2025 г.
Тип
journal article
Издатель
Pleiades Publishing
Том
46
Выпуск
10
Первая страница
5417
Последняя страница
5427
ISSN
1818-9962
Аннотация
Abstract This paper investigates a nonlocal problem for a loaded parabolic equation defined on a closed domain. By applying spatial discretization, the original problem is transformed into a two-point boundary value problem for a system of loaded ordinary differential equations. To address this problem, the Dzhumabaev parameterization method is utilized. Based on this approach, a numerical algorithm is developed to solve the original problem. The effectiveness of the proposed method is demonstrated through two computational examples. The obtained numerical results are compared with the exact solutions to validate the accuracy of the algorithm.
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