2024/03/13 by Sanjiv Kumar Bariwal, Bariwal, Sanjiv Kumar, Saddam Hussain +3
Engineering · #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical Analysis (math.NA) #Particle Dynamics in Fluid Flows
paper · pdf · doi:10.48550/arxiv.2403.08457
openalex publication_date 2024/03/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The non-linear collision-induced breakage equation has significant applications in particulate processes. Two semi-analytical techniques, namely homotopy analysis method (HAM) and accelerated homotopy perturbation method (AHPM) are investigated along with the well-known finite volume method (FVM) to comprehend the dynamical behavior of the non-linear system, i.e., the concentration function, the total number and the total mass of the particles in the system. The theoretical convergence analyses of the series solutions of HAM and AHPM are discussed. In addition, the error estimations of the truncated solutions of both methods equip the maximum absolute error bound. To justify the applicability and accuracy of these methods, numerical simulations are compared with the findings of FVM and analytical solutions considering three physical problems.