The differential transform method and Padé approximants for a fractional population growth model
Makaleler > Tam Makale · 2012
Yazarlar: Vedat Suat Erturk, Ahmet YILDIRIM, Shaher MOMANIC, Yasir KHAN
International Journal of Numerical Methods for Heat & Fluid Flow, SCI Expanded İndekslerine Giren Dergi, Uluslararası, Wos, 2012, cilt 22, ss 791-802
DOI: 10.1108/09615531211244925
Özet
Purpose The purpose of this paper is to propose an approximate method for solving a fractional population growth model in a closed system. The fractional derivatives are described in the Caputo sense. Design/methodology/approach The approach is based on the differential transform method. The solutions of a fractional model equation are calculated in the form of convergent series with easily computable components. Findings The diagonal Padé approximants are effectively used in the analysis to capture the essential behavior of the solution. Originality/value Illustrative examples are included to demonstrate the validity and applicability of the technique.