On the numerical solution of a fractional population growth model. (English) Zbl 1367.92100

Hicdurmaz, Betul; Can, Emine

Tbil. Math. J. 10, No. 1, 269-278 (2017).

Summary: In this paper, a fractional model for population growth of species within a closed system is considered. A numerical method which is based on the implementation of the fractional Legendre functions with a pseudospectral approach is applied. The aim is to show the effectiveness of fractional Legendre functions for the numerical simulation of fractional models.

MSC:

92D25	Population dynamics (general)
65R20	Numerical methods for integral equations

Keywords:

fractional differential equation; population model; numerical solution; pseudospectral method

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