Solving Population Balance Models via a Novel Semi-analytical Method

This article uses a novel semi-analytical method called the Daftardar-Jafari method (DJM) to solve the condensing coagulation model (CCM) and the Lifshitz-Slyozov model (LSM). Our study concentrates on two CCM test cases and one LSM test case. We compare numerical solutions for number density and moments in CCM to exact solutions for constant and product kernels with exponential initial conditions. Furthermore, the constant kernel with the exponential initial condition for LSM is considered. The numerical results are provided in tabular and graphical formats, allowing for a thorough examination of the models.