Daubechies wavelet scaling function approach to solve Volterra s population model

This paper aims to present a collocation approach based on Daubechies wavelet scaling functions for approximate solutions of Volterras model for population growth of a species with a closed system. In our method the integral and derivative term in dyadic points will be computed exactly. Using This method Volterras population model reduces into a system of non-linear algebraic equations. The results demonstrate the applicability and accuracy of the method. Also an error bound for the method will be investigated.