- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 2
- A new computational approach for solving a boundary-value problem for DEPCAG
A new computational approach for solving a boundary-value problem for DEPCAG
Authors : Zhazira KADİRBAYEVA, Anar Turmaganbetkyzy ASSANOVA, Elmira BAKİROVA
Pages : 362-376
Doi:10.31197/atnaa.1202501
View : 72 | Download : 108
Publication Date : 2023-07-23
Article Type : Research Article
Abstract :In this paper, a new computational approach is presented to solve a boundary-value problem for a differential equation with piecewise constant argument of generalized type (DEPCAG). The presented technique is based on the Dzhumabaev parametrization method. A useful numerical algorithm is developed to obtain the numerical values from the problem. Numerical experiments are conducted to demonstrate the accuracy and efficiency.Keywords : two-point boundary value problem, differential equation, piecewise-constant argument of generalized type, Dzhumabaev parametrization method, numerical solution