Қазақ ұлттық қыздар педагогикалық университеті / Казахский национальный женский педагогический университет
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- Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Numerical Solution to a Control Problem for Integro-Differential EquationsAbstract A control problem for an integro-differential equation is approximated by a problem with parameter for a loaded differential equation. A mutual relationship between the qualitative properties of the original and approximate problems is obtained, and estimates for the differences between their solutions are given. A numerical-approximate method for solving the control problem for the integro-differential equation is proposed, and the convergence, stability, and accuracy of the method are examined.Цитирования (OpenAlex) 65Цитирования (OpenCitations) 29 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Convergence, stability, and error analysis of the method of lines for solving loaded parabolic equations(American Institute of Mathematical Sciences, 2025-01-01); ;Zhenhai Liu ;Saule KuanyshThis paper studies the method of lines for solving loaded parabolic equations and provides a theoretical analysis of its convergence, stability, and error estimates. The spatial discretization reduces the original equation to a system of loaded ordinary differential equations solved by the Dzhumabaev parameterization method. Sufficient conditions for the existence and uniqueness of the solution are established, and it is proved that the method achieves second-order accuracy in space and stable convergence. A numerical example confirms the efficiency and reliability of the proposed approach.Цитирования (OpenAlex) 3 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Stability and convergence analysis of Fredholm-type parabolic integro-differential equations(Elsevier BV, 2026-08-28); ; ;Narkesh B. Iskakova; Saule Kuanysh
