A COLLOCATION METHOD BASED ON LERCH POLYNOMIALS TO SOLVE THE PREDATORPREY MODEL
5. INTERNATIONAL PALANDOKEN SCIENTIFIC STUDIES CONGRESS, Erzurum, Türkiye, 18 - 19 Mart 2023, ss.814-824, (Tam Metin Bildiri)
- Yayın Türü: Bildiri / Tam Metin Bildiri
- Basıldığı Şehir: Erzurum
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.814-824
- Akdeniz Üniversitesi Adresli: Evet
Özet
The main idea of this study is to obtain the approximate solutions of the predator-prey model by using a
collocation method based on the Lerch polynomials. According to method, the solutions of the predator-prey
model are written in matrix forms by using the Lerch polynomials. The derivatives of the approximate solutions,
the nonlinear term and the conditions in the predator-prey model are also expressed in matrix forms. Thus, the
predator-prey model converts to a system of algebraic matrix equation. The obtained system is solved via
MATLAB and so the unknown Lerch coefficient matrix is calculated. Morever, by giving the error estimation
method, the accuracy of the approximate solution is checked. Consequently, by making an application of the
method, the efficiency of the method is observed. The results of application are given in the table and graphs.