Numerical approximations and Padé approximants for a fractional population growth model

Shaher Momani; Rami Qaralleh

doi:10.1016/j.apm.2006.06.015

Numerical approximations and Padé approximants for a fractional population growth model

Shaher Momani
, Rami Qaralleh

University of Mutah

Research output: Contribution to journal › Article › peer-review

61 Scopus citations

Abstract

This paper presents an efficient numerical algorithm for approximate solutions of a fractional population growth model in a closed system. The time-fractional derivative is considered in the Caputo sense. The algorithm is based on Adomian's decomposition approach and the solutions are calculated in the form of a convergent series with easily computable components. Then the Padé approximants are effectively used in the analysis to capture the essential behavior of the population u(t) of identical individuals.

Original language	English
Pages (from-to)	1907-1914
Number of pages	8
Journal	Applied Mathematical Modelling
Volume	31
Issue number	9
DOIs	https://doi.org/10.1016/j.apm.2006.06.015
State	Published - Sep 2007
Externally published	Yes

Keywords

Adomian decomposition method
Fractional derivative
Padé approximants
Population dynamics
Volterra integral equation

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10.1016/j.apm.2006.06.015

Cite this

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title = "Numerical approximations and Pad{\'e} approximants for a fractional population growth model",

abstract = "This paper presents an efficient numerical algorithm for approximate solutions of a fractional population growth model in a closed system. The time-fractional derivative is considered in the Caputo sense. The algorithm is based on Adomian's decomposition approach and the solutions are calculated in the form of a convergent series with easily computable components. Then the Pad{\'e} approximants are effectively used in the analysis to capture the essential behavior of the population u(t) of identical individuals.",

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AU - Qaralleh, Rami

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AB - This paper presents an efficient numerical algorithm for approximate solutions of a fractional population growth model in a closed system. The time-fractional derivative is considered in the Caputo sense. The algorithm is based on Adomian's decomposition approach and the solutions are calculated in the form of a convergent series with easily computable components. Then the Padé approximants are effectively used in the analysis to capture the essential behavior of the population u(t) of identical individuals.

KW - Adomian decomposition method

KW - Fractional derivative

KW - Padé approximants

KW - Population dynamics

KW - Volterra integral equation

UR - https://www.scopus.com/pages/publications/34047179962

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DO - 10.1016/j.apm.2006.06.015

M3 - Article

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VL - 31

SP - 1907

EP - 1914

JO - Applied Mathematical Modelling

JF - Applied Mathematical Modelling

IS - 9

ER -

Numerical approximations and Padé approximants for a fractional population growth model

Abstract

Keywords

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