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Numerical-analytical method for solving initial-boundary value problem for loaded parabolic equation

Автор(ы)
Saule Kuanysh
Дата публикации
28 марта 2025 г.
Тип
journal article
Издатель
Karaganda Buketov University
Журнал
Том
117
Выпуск
1
Первая страница
34
Последняя страница
45
DOI
ISSN
2518-7929
Аннотация
An initial-boundary value problem for a loaded parabolic equation in a rectangular domain was considered. By discretization with respect to a spatial variable, the problem under study is reduced to the initial problem for a system of loaded ordinary differential equations. Based on the previously obtained results of Dzhumabaev and Assanova, an estimate for the solution of the original initial-boundary value problem for a loaded parabolic equation was established. An auxiliary initial problem for a system of loaded ordinary differential equations is solved by the Dzhumabaev parameterization method. Conditions of the unique solvability of the considering problem are obtained and algorithms for finding a solution are constructed. The results are illustrated with a numerical example.
Темы

initial-boundary valu...

numerical-analytical ...

rectangular domain

uniqueness of solutio...

solution estimates

discretization

Области науки (FoS)

Mathematics

Applied Mathematics

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W4408930402.pdf

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Полный текст в открытом доступе, лицензия cc-by-nc-nd; источник: https://mts.buketov.edu.kz/mathematics-vestnik/article/download/765/661
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