Numerical approximations and Padé approximants for a fractional population growth model

By Shaher Momani, Rami Qaralleh. 2007

77 citations recorded by the source corpus.

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 Pade approximants are effectively used in the analysis to capture the essential behavior of the population u(t) of identical individuals.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f3311613f1397b5f4d6a6e964e70ac5677d401dc

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In Applied Mathematics

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation (2011, methodology): “[14] and Xu [15] used a numerical and analytical algorithm for approximate solutions of a fractional population growth model, respectively.”
European Vanilla Option Pricing Model of Fractional Order without Singular Kernel (2018, methodology): “In this paper, we have employed approximate-analytical solutions by using a new numerical method, which is described with the Caputo–Fabrizio fractional derivative operator for linear PDEs of time-fractional order.”