Numerical Solution of Second-Order Impulsive Differential Equations With Loadings Subject to Integral Boundary Conditions
Kadirbayeva Z. Kadirbayeva R.
April 2025John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2025#48Issue 66269 - 6277 pp.
In this paper, we present a computational method for solving the second-order impulsive differential equations with loadings subject to integral boundary conditions based on the Dzhumabaev parametrization method. The idea of this method involves introducing additional parameters, reducing the original problem to solving a system of linear algebraic equations. The systems coefficients and right-hand side are determined by solving Cauchy problems for ODEs and by calculating definite integrals. Four examples are provided to show the effectiveness and feasibility of the main results.
impulsive differential equations , integral conditions , loadings , numerical algorithm , parametrization method
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Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Kazakh National Womens Teacher Training University, Almaty, Kazakhstan
International Information Technology University, Almaty, Kazakhstan
South Kazakhstan Pedagogical University named after Ozbekali Zhanibekov, Shymkent, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Kazakh National Womens Teacher Training University
International Information Technology University
South Kazakhstan Pedagogical University named after Ozbekali Zhanibekov
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