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

الملخص EN

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.