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Journal of Mathematics Mechanics and Computer Science

ISSN
1563-0277
2617-4871
Издатель
Al-Farabi Kazakh National University
Ключевые слова

Differential Equation...

Nonlinear Differentia...

Spectral Theory in Ma...

Stability and Control...

Numerical methods in ...

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20251

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    Тип записи:Публикация,
    METHOD OF LINES FOR A LOADED PARABOLIC EQUATION
    (Al-Farabi Kazakh National University, 2025-03-25)
    Saule Kuanysh
    ;
    A. T. Assanova
    ;
    Zh. М. Каdirbayeva
    In a closed domain, a two-point boundary value problem for loaded parabolic equations is considered. The method of lines with respect to the variable x is used to solve this problem. As a result of this approach, a discretized problem is formulated. The discretized problem is reduced to a two-point boundary value problem for loaded differential equations (LDE). The solution of the resulting boundary value problem is performed using the parameterization method developed by professor Dzhumabaev. The study demonstrates the relationship between the boundary value problem for the loaded parabolic equation and the related discretized problem.
    Цитирования (OpenAlex) 7Цитирования (OpenCitations) 3