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BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

ISSN
2518-7929
2663-5011
Издатель
Karaganda Buketov University
Ключевые слова

Differential Equation...

Nonlinear Differentia...

Stability and Control...

Differential Equation...

Advanced Topology and...

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20251

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    Тип записи:Публикация,
    Numerical-analytical method for solving initial-boundary value problem for loaded parabolic equation
    (Karaganda Buketov University, 2025-03-28)
    A. T. Assanova
    ;
    Zh. М. Каdirbayeva
    ;
    Saule Kuanysh
    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.
    Цитирования (OpenAlex) 6Цитирования (OpenCitations) 2