4. INTERNATIONAL SCIENTIFIC RESEARCH AND INNOVATION CONGRESS, İstanbul, Turkey, 11 - 12 March 2023, pp.234-242
In this paper, we present an efficient method to obtain the approximate solution of the Abel differential equation
via Pell-Lucas polynomials. The method is based on operational matrices of the Pell-Lucas polynomials.
According to method, the Abel differential equation transforms into a system of nonlinear algebraic equations via
the operational matrices of integration and product and the Tau method. By solving this nonlinear system, the
approximate solution of the Abel differential equation is obtained. The application of this method is made and the
results are given in table and graphs. The application of the method is made by using a code written in MATLAB
and the graphics are obtained by MATLAB.