Title | ||
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Transport-diffusion models with nonlinear boundary conditions and solution by generalized collocation methods |
Abstract | ||
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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 Angelis | 1 | 10 | 2.61 |
R. Revelli | 2 | 6 | 1.56 |
L. Ridolfi | 3 | 2 | 0.77 |