Approximate solutions of aggregation and breakage population balance equations

DOI10.1016/j.jmaa.2022.126166zbMath1491.45014OpenAlexW4220810128MaRDI QIDQ2122190

Randhir Singh, Gurmeet Kaur, Heiko Briesen

Publication date: 6 April 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126166

zbMATH Keywords

aggregationseries solutionhomotopy analysis methodpopulation balance equationsbreakage

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Population dynamics (general) (92D25) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20) Theoretical approximation of solutions to integral equations (45L05)

Related Items (4)

Event-driven sorting algorithm-based Monte Carlo method with neighbour merging method for solving aerosol dynamics ⋮ Laplace transform‐based approximation methods for solving pure aggregation and breakage equations ⋮ Homotopy perturbation and Adomian decomposition methods for condensing coagulation and Lifshitz-Slyzov models ⋮ Avoiding Small Denominator Problems by Means of the Homotopy Analysis Method

Cites Work

• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• The equilibrium behavior of reversible coagulation-fragmentation processes
• On the homotopy analysis method for nonlinear problems.
• Adomian decomposition method for solving fragmentation and aggregation population balance equations
• Analytical approach for solving population balances: a homotopy perturbation method
• Numerical solution of homogeneous Smoluchowski's coagulation equation

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