Analytical and Numerical Solutions of a Boundary Value Problem for Impulsive Differential Equations with Loadings
Kadirbayeva Z.M.
December 2023Pleiades Publishing
Lobachevskii Journal of Mathematics
2023#44Issue 125276 - 5285 pp.
Abstract: The main interest of this paper is to propose a method in order to solve linear boundary value problem for impulsive differential equations with loadings. This method is called the Dzhumabaev parametrization method. The application of the this method leads the considering problem to a system of algebraic equations and Cauchy problems that are easy to solve. Some examples are introduced and the obtained results are compared with exact solution to illustrate the effectiveness and accuracy of the method.
impulsive differential equation , loadings , numerical algorithm , parametrization method
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Department of Differential Equations, Institute of Mathematics and Mathematical Modeling, Almaty, 050000/A26G7T5, Kazakhstan
Department of Mathematical and Computer Modeling, International Information Technology University, Almaty, 050040/A15M0F0, Kazakhstan
Department of Differential Equations
Department of Mathematical and Computer Modeling
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