Numerical solution of homogeneous Smoluchowski's coagulation equation

DOI10.1080/00207160802617012zbMath1197.65231OpenAlexW2000463144MaRDI QIDQ5747744

Mehrdad Lakestani, Mojtaba Ranjbar, Hojatollah Adibi

Publication date: 14 September 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160802617012

zbMATH Keywords

numerical examplesystem of nonlinear equationsradial basis functionsNewton-Raphson methodmeshless methodsconstant kernelaggregation processesthe homogeneous Smoluchowski's coagulation equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (8)

Approximate solutions of aggregation and breakage population balance equations ⋮ Analytical approach for solving population balances: a homotopy perturbation method ⋮ An actuated computational method for treating parabolic partial delay integro-differential equations constrained by infinite boundary ⋮ Convergence and error estimation of weighted finite volume scheme for coagulation‐fragmentation equation ⋮ Laplace transform‐based approximation methods for solving pure aggregation and breakage equations ⋮ Collocation method based on radial basis functions via symmetric variable shape parameter for solving a particular class of delay differential equations ⋮ A novel optimized decomposition method for Smoluchowski's aggregation equation ⋮ Adomian decomposition method for solving fragmentation and aggregation population balance equations

Cites Work

• Numerical solution for biharmonic equation using multilevel radial basis functions and domain decomposition methods
• Deterministic and stochastic models for coalescence (aggregation and coagulation): A review of the mean-field theory for probabilists
• Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
• A meshless, integration-free, and boundary-only RBF technique
• Adaptive radial basis function methods for time dependent partial differential equations
• Stochastic particle approximations for Smoluchowski's coagulation equation
• On approximate cardinal preconditioning methods for solving PDEs with radial basis functions
• Determination of a control parameter in a one-dimensional parabolic equation using the method of radial basis functions
• Singularities in the kinetics of coagulation processes
• On a Monte Carlo scheme for Smoluchowski’s coagulation equation
• Monte Carlo simulation of the coagulation processes governed by Smoluchowski equation with random coefficients
• A Monte Carlo approach to the Smoluchowski equations
• A radial basis meshless method for solving inverse boundary value problems
• Explicit and implicit meshless methods for linear advection-diffusion-type partial differential equations
• An Efficient Stochastic Algorithm for Studying Coagulation Dynamics and Gelation Phenomena
• Numerical Simulation of the Smoluchowski Coagulation Equation
• Application of radial basis meshless methods to direct and inverse biharmonic boundary value problems
• Numerical solution of the Smoluchowski kinetic equation and asymptotics of the distribution function
• The radial basis functions method for identifying an unknown parameter in a parabolic equation with overspecified data

This page was built for publication: Numerical solution of homogeneous Smoluchowski's coagulation equation