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

M. H. Heydari, M. R. Hooshmandasl, C. Cattani and Ming Li

Mathematical Problems in Engineering, 2013, vol. 2013, 1-8

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:161030

DOI: 10.1155/2013/161030

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