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Legendre Wavelets Method for Solving Fractional Population Growth Model in a Closed System

Author

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  • M. H. Heydari
  • M. R. Hooshmandasl
  • C. Cattani
  • Ming Li

Abstract

A new operational matrix of fractional order integration for Legendre wavelets is derived. Block pulse functions and collocation method are employed to derive a general procedure for forming this matrix. Moreover, a computational method based on wavelet expansion together with this operational matrix is proposed to obtain approximate solution of the fractional population growth model of a species within a closed system. The main characteristic of the new approach is to convert the problem under study to a nonlinear algebraic equation.

Suggested Citation

  • M. H. Heydari & M. R. Hooshmandasl & C. Cattani & Ming Li, 2013. "Legendre Wavelets Method for Solving Fractional Population Growth Model in a Closed System," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnlmpe:161030
    DOI: 10.1155/2013/161030
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    Cited by:

    1. Francisco J. Ariza-Hernandez & Martin P. Arciga-Alejandre & Jorge Sanchez-Ortiz & Alberto Fleitas-Imbert, 2020. "Bayesian Derivative Order Estimation for a Fractional Logistic Model," Mathematics, MDPI, vol. 8(1), pages 1-9, January.

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