Approximating the Becker-Döring cluster equations

DOI10.1016/S0168-9274(00)00020-9zbMath0991.82030OpenAlexW2051329699MaRDI QIDQ5932814

Dugald B. Duncan, Ali R. Soheili

Publication date: 3 February 2002

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0168-9274(00)00020-9

zbMATH Keywords

Galerkin methodtruncationBecker-Döring equationcoagulationfragmentationreduced model

Mathematics Subject Classification ID

Related Items (5)

An introduction to mathematical models of coagulation--fragmentation processes: a discrete deterministic mean-field approach ⋮ Deterministic and Stochastic Becker–Döring Equations: Past and Recent Mathematical Developments ⋮ A new reduced model for the moments of droplet size distribution in condensing flow ⋮ On the Becker/Döring theory of nucleation of liquid droplets in solids ⋮ Fokker--Planck Approach of Ostwald Ripening: Simulation of a Modified Lifshitz--Slyozov--Wagner System with a Diffusive Correction

Uses Software

• Matlab
• ode23
• ode45
• Ode15s
• ode113
• ode23s
• MATLAB ODE suite

Cites Work

• Unnamed Item
• The Becker-Döring cluster equations: Basic properties and asymptotic behaviour of solutions
• The Becker-Döring equations at large times and their connection with the LSW theory of coarsening
• Numerical time integration for air pollution models
• The Becker-Döring equations and the Lifshitz-Slyozov theory of coarsening
• Metastable states for the Becker-Döring cluster equations
• The MATLAB ODE Suite
• Improved Quasi-Steady-State-Approximation Methods for Atmospheric Chemistry Integration
• Analysis of a generalized Becker—Döring model of self-reproducing micelles
• Computational treatment of polyreaction kinetics by orthogonal polynomials of a discrete variable
• Asymptotic behaviour of solutions to the Becker-Döring equations for arbitrary initial data
• Adaptive treatment of polyreactions in weighted sequence spaces
• Numerical approximation of a metastable system
• Cluster renormalization in the Becker-Döring equations
• Kinetische Behandlung der Keimbildung in übersättigten Dämpfen

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