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

作者：Yuzbasi Suayip^*

来源：International Journal of Biomathematics, 2016, 9(3): 1650036.

DOI：10.1142/S1793524516500364

• HIV infection model of CD4(+)T cells
• exponential approximation
• systems of nonlinear differential equations
• exponential collocation method
• collocation points

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.

• 出版日期2016-5