Zhazira KADİRBAYEVA, Anar Turmaganbetkyzy ASSANOVA, Elmira BAKİROVA

A new computational approach for solving a boundary-value problem for DEPCAG

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,

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