FERMAT COLLOCATION APPROACH FOR SOLVING THE PREDATOR-PREY SYSTEM WITH ONE DISCRETE DELAY

Yüzbaşı Ş., Yıldırım G.

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Türkiye, 20 - 23 Temmuz 2022, ss.379-389

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Konya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.379-389
  • Akdeniz Üniversitesi Adresli: Evet

Özet

 In this paper, the Fermat collocation method is performed to solve the predator-prey system with one discrete delay. This method is based on the matrix forms of the Fermat polynomials and their derivatives with the evenly spaced collocation points. The presented method converts the predator-prey system with one discrete delay to an algebraic matrix equation which is a set of algebraic equations with the unknown Fermat coefficients. In addition, the accuracy of the approximate solution is checked and an error estimation method and a residual improved method are presented. Moreover, an example problem is given to illustrate the efficiency of the method. The application of the method and the graphics are obtained by using MATLAB.