NUMERICAL SOLUTION OF THE ABEL DIFFERENTIAL EQUATION BY USING AN OPERATIONAL MATRIX METHOD BASED ON PELL-LUCAS POLYNOMIALS

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Yüzbaşı Ş., Yıldırım G.

4. INTERNATIONAL SCIENTIFIC RESEARCH AND INNOVATION CONGRESS, İstanbul, Türkiye, 11 - 12 Mart 2023, ss.234-242

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.234-242
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.