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

Kadirbayeva Z. Assanova A. Bakirova E.
2023 DergiPark

Advances in the Theory of Nonlinear Analysis and its Applications
2023 #7 Issue 2 362 - 376 pp.

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.

differential equation , Dzhumabaev parametrization method , numerical solution , piecewise-constant argument of generalized type , two-point boundary , value problem

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Department of Differential equations, Institute of Mathematics and Mathematical Modeling, International Information Technology University, Almaty, Kazakhstan
Department of Differential equations, Institute of Mathematics and Mathematical Modeling, Kazakh National Women’s Teacher Training University, Almaty, Kazakhstan

Department of Differential equations
Department of Differential equations

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