Paswan, AmitAmitPaswanSaha, JitrajJitrajSahaHeinrich, StefanStefanHeinrich2025-12-172025-12-172026-01Advanced Powder Technology 37 (1): 105145 (2026)https://hdl.handle.net/11420/60268The modeling of aggregation and collisional breakage phenomena remains largely unexplored due to nonlinearity and nonlocal nature of the model equation. This article discusses the performance and efficiency of a redefined homotopy-based method and generalized iteration method for solving bivariate aggregation-collision breakage model for several kinetic kernels. Solution for Brownian motion kernel and equi-partition of kinetic energy kernel are obtained to analyze the dynamics of bubble columns as well as the granular flow behavior. The iterative scheme is further extended to solve aggregation-breakage model with simultaneous growth and source terms. This model is also extended for solving bivariate cases.en0921-8831Advanced powder technology20261AggregationBivariate modelingGeneralized iteration methodImproved homotopy analysis methodNonlinear collisional breakageTechnology::600: TechnologyNatural Sciences and Mathematics::510: MathematicsNatural Sciences and Mathematics::519: Applied Mathematics, ProbabilitiesAn improved meshfree approach for solving nonlinear multivariate models involving aggregation, breakage, growth and sourceJournal Article10.1016/j.apt.2025.105145Journal Article