This paper deals with the numerical simulation studies of the nucleation and crystal growth process in a batch crystalliser. The population density functions may extend over orders of several magnitudes and the size distribution can be very sharp, thus accurate numerical solution of the population density functions can be challenging. The main interest for finding a more representative population balance solutions has motivated many researchers to develop many methods for the last four decades. In this paper, four methods have been implemented including wavelet-based method. The results obtained in three case studies, have demonstrated the wavelet scheme to be an alternative in providing accurate, fast and robust solutions.