An Algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings
Iskakova N.B. Bakirova E.A. Khanzharova B.S. Kadirbayeva Z.M.
October 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 105032 - 5042 pp.
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.
delay differential equation , loadings , numerical algorithm , parametrization method
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Institute of Mathematics and Mathematical Modeling, Department of Differential Equations, Almaty, 050000/A26G7T5, Kazakhstan
Kazakh National Women’s Teacher Training University, Department of Mathematics, Almaty, 050026/A05M0T6, Kazakhstan
International Information Technology University, Department of Mathematical and Computer Modeling, Almaty, 050040/A15M0F0, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Kazakh National Women’s Teacher Training University
International Information Technology University
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