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  5. Two-Point Boundary Value Problem for Volterra–Fredholm Integro-Differential Equations and Its Numerical Analysis
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Two-Point Boundary Value Problem for Volterra–Fredholm Integro-Differential Equations and Its Numerical Analysis

Автор(ы)
A. T. Assanova
E. А. Bakirova
Zh. М. Каdirbayeva
Дата публикации
1 марта 2023 г.
Тип
journal article
Издатель
Pleiades Publishing
Журнал
Lobachevskii Journal of Mathematics
Том
44
Выпуск
3
Первая страница
1100
Последняя страница
1110
DOI
10.1134/s1995080223030058
ISSN
1818-9962
Аннотация
Abstract A two-point boundary value problem for Volterra–Fredholm integro-differential equations is considered. To solve this problem, Dzhumabaev parametrization method is used. Conditions for the existence and uniqueness of two-point boundary value problem for Volterra–Fredholm integro-differential equations are established. An algorithm for finding solution of this problem is proposed. Then, numerical approach for analysis of two-point boundary value problem for Volterra–Fredholm integro-differential equations is offered. Results are illustrated by numerical example.
Темы

two-point boundary va...

Volterra-Fredholm int...

existence and uniquen...

numerical solution al...

Области науки (FoS)

Mathematics

Applied Mathematics

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