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2. Numerical approximations and Padé approximants for a fractional population growth model

Author

Rami Qaralleh and Shaher Momani

Subjects
education.field_of_study, Population dynamics, Closed system, Applied Mathematics, Population, Mathematical analysis, Fractional derivative, Volterra integral equation, Fractional calculus, symbols.namesake, Population model, Padé approximants, Modeling and Simulation, Modelling and Simulation, symbols, Padé approximant, Adomian decomposition method, education, Convergent series, Mathematics
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.

Published
2007
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