Semi-Analytical Solution for Condensing Coagulation and Lifshitz-Slyozov Models: Variational Iteration Method

This article delineates a semi-analytical methodology for addressing the condensing coagulation and Lifshitz-Slyozov models. The work also delves into the convergence analysis of the variational iteration method, elucidating the approximated solutions for these equations. To assess the efficacy and precision of this approach, the study incorporates a range of test cases. Specifically, it compares the approximated number density and moments with their exact counterparts under conditions involving constant and product kernels, along with exponential initial conditions. The findings are systematically presented through numerical simulations, featuring tabular and graphical representations that underscore the scheme’s accuracy.