On the Approximation Algorithms for Solving Riccati Differential Equations Using Piecewise Constant Arguments Method
Year: 2024
Type: article
Abstract: This paper presents an efficient approach for determining an approximate solution to Riccati differential equations with variable coefficients. The approach is introduced as a differential equation with piecewise constant arguments, corresponding to the considered initial value problem, which depends on a positive integer . It is shown that this equation has a unique piecewise smooth solution, which serves as an approximate solution to the considered initial value problem for large . Numerical results are provided, demonstrating the efficiency and high accuracy of the proposed method.
Authors: Zafar Jumaev, Zabidin Salleh
Institution: Universiti Malaysia Terengganu
Language: English
Subfield: Numerical Analysis
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406078378