An Algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings

被引：1

作者：

Iskakova, N. B. ^{[1
]}

Bakirova, E. A. ^{[1
,2
]}

Khanzharova, B. S. ^{[2
]}

Kadirbayeva, Zh. M. ^{[1
,2
,3
]}

机构：

[1] Inst Math & Math Modeling, Dept Differential Equat, A26G7T5, Alma Ata 050000, Kazakhstan

[2] Kazakh Natl Womens Teacher Training Univ, Dept Math, A05M0T6, Alma Ata 050026, Kazakhstan

[3] Int Informat Technol Univ, Dept Math & Comp Modeling, A15M0F0, Alma Ata 050040, Kazakhstan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 10期

关键词：

delay differential equation; loadings; parametrization method; numerical algorithm; PARABOLIC-HYPERBOLIC EQUATION; NUMERICAL-SOLUTION; COMPUTATIONAL METHOD; IMPULSIVE SYSTEMS; SOLVABILITY;

D O I：

10.1134/S1995080224606064

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：5032 / 5042

页数：11

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