An Algorithm for Solving Boundary Value Problems for Delay Differential Equations with Loadings
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.
Authors
- Narkesh Iskakova (ORCID: https://orcid.org/0000-0002-0680-4099)
- Zh. М. Каdirbayeva (ORCID: https://orcid.org/0000-0001-8861-4100)
- E. А. Bakirova (ORCID: https://orcid.org/0000-0002-3820-5373)
- B. S. Khanzharova
Institutions
- Al-Farabi Kazakh National University (KZ)
- Satbayev University (KZ)
- Abai Kazakh National Pedagogical University (KZ)
- International Information Technologies University (KZ)
- Institute of Mathematics and Mathematical Modeling (KZ)
Publication Details
- Journal
- Lobachevskii Journal of Mathematics
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1134/s1995080224606064
- Citations
- 4
- Primary Topic
- Differential Equations and Numerical Methods
- Type
- article
- Field-Weighted Citation Impact
- 2.93