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A novel numerical implementation for solving problem for loaded DEPCAG
Автор(ы)
Дата публикации
10 января 2023 г.
Тип
journal article
Издатель
Al-Farabi Kazakh National University
Том
13
Выпуск
2
Первая страница
50
Последняя страница
57
ISSN
2218-7987
Аннотация
In this work, we propose a new computational approach is implemented to solve a two-point BVP for a loaded differential equation with piecewise constant argument of generalized type (DEPCAG) based on the Dzhumabaev parameterization method. In this method, as parameters, we take the values of the desired solution at the partition points which are chosen taking into account the specifics of the equation. The problem under consideration reduces to an equivalent parametric problem for ordinary differential equations. A solution to this problem, which in turn are found from a system of linear algebraic equations. The found values of the parameters are used to determine the values of the unknown function at the remaining points of the interval by solving auxiliary initial-value problems. We develop a novel numerical implementation for solving the considered a two-point BVP for loaded DEPCAG and provide two examples illustrating its application, where Mathcad software will be used for the calculation.
Области науки (FoS)