The differential transform method and Padé approximants for a fractional population growth model

Abstract

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.

Citation

Suat Erturk, V., Yıldırım, A., Momanic, S. and Khan, Y. (2012), "The differential transform method and Padé approximants for a fractional population growth model", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 22 No. 6, pp. 791-802. https://doi.org/10.1108/09615531211244925