Numerical implementation of solving a boundary value problem including both delay and parameter
Kadirbayeva Z. Iskakova N. Bakirova E.
1 June 2025Walter de Gruyter GmbH
Mathematica Slovaca
2025#75Issue 3601 - 610 pp.
In this paper, a new technique, namely the Dzhumabaev parameterization method, is presented and applied to linear boundary value problem with parameter for delay differential equation to find an efficient algorithm for their approximate solutions. Effectiveness of this algorithm is tested by examples of second-order delay differential equations and linear boundary value problem with parameter for delay differential equations. Obtained results reveal that proposed algorithm of the Dzhumabaev parameterization method is highly efficient and straightforward to execute.
algorithm , Boundary value problem with parameter , delay differential equation , numerical solution , parameterization method
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Department of Differential Equations and Dynamical Systems, Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Department of Mathematics, Kazakh National Womens Teacher Training University, Almaty, Kazakhstan
Department of Mathematical and Computer Modeling, International Information Technology University, Almaty, Kazakhstan
Department of Differential Equations and Dynamical Systems
Department of Mathematics
Department of Mathematical and Computer Modeling
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