This article is concerned with the numerical investigation of one-dimensional population balance models for batch crystallization process with fines dissolution. In batch crystallization

dissolution of smaller unwanted nuclei below some critical size is of vital importance as it improves the quality of product. The crystal growth rates for both size-independent and size-dependent cases are considered. A delay in recycle pipe is also included in the model. The space-time conservation element and solution element method

originally derived for non-reacting flows

is used to solve the model. This scheme has already been applied to a range of PDEs

mainly in the area of fluid mechanics. The numerical results are compared with those obtained from the Koren scheme

showing that the proposed scheme is more efficient.