An exponential collocation method for the solutions of the HIV infection model of CD4(+)T cells

YÜZBAŞI Ş.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS, cilt.9, sa.3, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1142/s1793524516500364
  • Dergi Adı: INTERNATIONAL JOURNAL OF BIOMATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: HIV infection model of CD4(+)T cells, exponential approximation, systems of nonlinear differential equations, exponential collocation method, collocation points, MATHEMATICAL-ANALYSIS, DYNAMICS
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, an exponential method is presented for the approximate solutions of the HIV infection model of CD4(+)T. The method is based on exponential polynomials and collocation points. This model problem corresponds to a system of nonlinear ordinary differential equations. Matrix relations are constructed for the exponential functions. By aid of these matrix relations and the collocation points, the proposed technique transforms the model problem into a system of nonlinear algebraic equations. By solving the system of the algebraic equations, the unknown coefficients are computed and thus the approximate solutions are obtained. The applications of the method for the considered problem are given and the comparisons are made with the other methods.