The differential transform method and Padé approximants for a fractional population growth model
Articles > Article · 2012
Authors: Vedat Suat Erturk, Ahmet YILDIRIM, Shaher MOMANIC, Yasir KHAN
International Journal of Numerical Methods for Heat & Fluid Flow, Journal Indexed in SCI Expanded, International, WoS, 2012, vol 22, pp 791-802
DOI: 10.1108/09615531211244925
Summary
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.