Title
Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods
Abstract
This paper deals with the derivation of a class of nonlinear transport and diffusion models implemented with nonlinear boundary conditions. Mathematical tools to treat the initial-boundary value problems are developed, based on generalized collocation methods, focused on the treatment of nonlinear boundary conditions in one space dimension. Applications refer to a problem of interest in applied sciences.
Year
DOI
Venue
2009
10.1016/j.camwa.2009.02.034
Computers & Mathematics with Applications
Keywords
Field
DocType
nonlinear transport,macroscopic from microscopic,initial-boundary value problem,paper deal,generalized collocation method,transport-diffusion model,nonlinear boundary condition,collocation methods,applied science,transport,diffusion model,diffusion,space dimension,mathematical tool,nonlinear problems,collocation method
Boundary value problem,Mathematical optimization,Nonlinear system,Orthogonal collocation,Mathematical analysis,Singular boundary method,Mathematics,Nonlinear boundary conditions,Applied science,Mixed boundary condition,Collocation
Journal
Volume
Issue
ISSN
58
3
Computers and Mathematics with Applications
Citations 
PageRank 
References 
2
0.43
5
Authors
3
Name
Order
Citations
PageRank
E. De Angelis1102.61
R. Revelli261.56
L. Ridolfi320.77