 Accelerated semi-analytical framework of encounter-driven Lifshitz–Slyozov model in supersaturated solutionsPrakrati Kushwah, Jitraj Saha and Andreas Bück Mathematics and Computers in Simulation (MATCOM), 2026, vol. 248, issue C, 824-845 Abstract: We consider the Lifshitz–Slyozov model coupled with particle encounters that describes the kinetics of precipitation from supersaturated solution systems, and subsequent growth of crystals in the system. The encounter phenomena is described through the coupling of the Oort–Hulst–Safronov process with the inverse coagulation process. The physical significance of the models and relation between them are discussed in detail. New analytical series solutions are obtained using homotopy method. The mathematical convergence analysis of the new scheme is carried out. Several examples are discussed numerically and the convergence of series solutions is accelerated through an optimal convergence control parameter. For two examples, new analytical solutions in closed form are presented. Accuracy of the proposed method is further advanced by coupling it with the Padé approximation technique. Keywords: Lifshitz–Slyozov model with encounters; Condensing coagulation; Homotopy method; Convergence; Padé approximation (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:248:y:2026:i:c:p:824-845 DOI: 10.1016/j.matcom.2026.04.043 Access Statistics for this article Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier |
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