Қазақ ұлттық қыздар педагогикалық университеті / Казахский национальный женский педагогический университет
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Тип записи:Публикация, An Algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings(Pleiades Publishing, 2024-10-01); ; Abstract In this paper, we propose an efficient numerical algorithm for solving linear two-point boundary value problem for delay differential equations with loadings. The Dzhumabaev parametrization method is applied to construct the numerical solutions. The application of the this method leads the considering problem to a system of algebraic equations and Cauchy problems for differential equation without delay argument that are easy to solve. Several illustrative examples are given to demonstrate the effectiveness of the proposed algorithm.Цитирования (OpenAlex) 8Цитирования (OpenCitations) 4 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, NUMERICAL METHOD FOR SOLVING THE BOUNDARY VALUE PROBLEM FOR THE PARABOLIC EQUATION(2024-10-01); ; Saule KuanyshA linear boundary value problem for a parabolic equation is considered in a closed domain. Based on the broken line method, the boundary value problem for a parabolic equation is replaced by a two-point boundary value problem for a system of linear ordinary differential equations by discretizing the unknown function u(t,x) with respect to the variable x. The obtained two-point boundary value problem is investigated by the parameterization method of Professor Dzhumabaev. Based on this method, an algorithm for finding a numerical solution to the two-point boundary value problem for a system of linear ordinary differential equations is constructed. The constructed algorithm is realized by applying known numerical methods. The constructiveness and efficiency of the parameterization method also allows us to construct a numerical solution of the considered linear boundary value problem for the parabolic equation. One numerical example is given to verify and illustrate the proposed algorithm. - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Numerical implementation of solving a boundary value problem including both delay and parameter(Springer Science+Business Media, 2025-06-01); Цитирования (OpenAlex) 3Цитирования (OpenCitations) 2 - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, ON THE APPROXIMATION OF A BOUNDARY VALUE PROBLEM FOR DELAY INTEGRO-DIFFERENTIAL EQUATIONS(2025-07-06); - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, A new numerical technique for solving a multipoint problem with parameter for impulsive integro-differential equations(Springer Science+Business Media, 2026-07-15); ; Narkesh B. IskakovaAbstract In this paper, we offer a new numerical technique for solving the linear multipoint problem with parameter for impulsive integro-differential equations. The proposed technique is based on the Dzhumabaev’s parameterization method, one of the ideas of which is to solve a system of linear algebraic equations. The coefficients and right-hand sides of the system are determined by solving Cauchy problems for ordinary differential equations. The given numerical examples showed the efficiency and accuracy of the introduced algorithm. - Некоторые метрики заблокированы вашиминастройками согласия
Тип записи:Публикация, Stability and convergence analysis of Fredholm-type parabolic integro-differential equations(Elsevier BV, 2026-08-28); ; ; Saule Kuanysh