AN OPERATIONAL MATRIX METHOD FOR APPROXIMATE SOLUTIONS OF A CLASS OF THE SYSTEM OF THE DIFFERENTIAL EQUATIONS WITH DELAY-TERMS

Yüzbaşı Ş., Yıldırım G.

3 rd International Conference on Applied Engineering and Natural Sciences, Konya, Türkiye, 20 - 23 Temmuz 2022, ss.349-357

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Basıldığı Şehir: Konya
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.349-357
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we consider a class of the system of differential equations with delay terms. We apply the operational matrix method to the system of differential equations with delay terms. The method is based on the operational matrices of the standard bases functions. Namely, the operational matrices for the polynomial approximations of the known functions in the problem are constituted by the least-squares method. The method converts the problem into a system of algebraic equations. This system is solved by using MATLAB and so the coefficient matrix is determined. By writing the coefficient matrix in problem, the approximate solutions are obtained. The operational method is applied to the two examples and the obtained results are presented in table and graphs. Also, the numerical results are discussed.