Homotopy techniques in nonlinear problems are getting increasingly popular in engineering
practice. The main reason is because the homotopy method deforms continuously a difficult …

The population balance equation (PBE) is one of the most popular integro-differential
equations modeled for several industrial processes. The solution to this equation is usually …

Crystallization problem is one of the popular problems in wide area of science. The first
principles are not used to design a crystallizer in which complicated processes include …

This study presents a novel analytical solution for the Population Balance Equation (PBE)
involving particulate aggregation and breakage by making use of the appropriate solution …

We propose a semi-analytical method to solve partial integro-differential equations with
initial/boundary conditions. This work investigates the semi-analytical solutions of the …