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.
Legendre Wavelets Method for Solving Fractional Population Growth Model in a Closed System
CATTANI, Carlo;
2013
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.File in questo prodotto:
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