To read the full version of this content please select one of the options below:

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

Vedat Suat Erturk (Department of Mathematics, Ondokuz Mayıs University, Samsun, Turkey)
Ahmet Yıldırım (Department of Mathematics, Ege University, Bornova – Izmir, Turkey)
Shaher Momanic (Department of Mathematics, The University of Jordan, Amman, Jordan)
Yasir Khan (Department of Mathematics, Zhejiang University, Hangzhou, China)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 3 August 2012

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.

Keywords

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

Publisher

:

Emerald Group Publishing Limited

Copyright © 2012, Emerald Group Publishing Limited