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Generalized collocation method for linear and nonlinear convection-diffusion models

Revelli, Roberto / Ridolfi, Luca

Abstract The generalized collocation method has proved to be a simple and useful numerical approach for the simulation of a number of one- and two-dimensional nonlinear differential problems. Its remarkable efficiency to solve convection-diffusion models is shown in this note. Some typical test cases are dealt with and the good results that have been obtained suggest that the proposed generalized collocation method could be useful to simulate a class of equations usually adopted to describe several important processes in water engineering.

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Generalized collocation method for linear and nonlinear convection-diffusion models

Revelli, Roberto / Ridolfi, Luca

Abstract The generalized collocation method has proved to be a simple and useful numerical approach for the simulation of a number of one- and two-dimensional nonlinear differential problems. Its remarkable efficiency to solve convection-diffusion models is shown in this note. Some typical test cases are dealt with and the good results that have been obtained suggest that the proposed generalized collocation method could be useful to simulate a class of equations usually adopted to describe several important processes in water engineering.

Generalized collocation method for linear and nonlinear convection-diffusion models

Revelli, Roberto / Ridolfi, Luca

Abstract The generalized collocation method has proved to be a simple and useful numerical approach for the simulation of a number of one- and two-dimensional nonlinear differential problems. Its remarkable efficiency to solve convection-diffusion models is shown in this note. Some typical test cases are dealt with and the good results that have been obtained suggest that the proposed generalized collocation method could be useful to simulate a class of equations usually adopted to describe several important processes in water engineering.

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Title:

Generalized collocation method for linear and nonlinear convection-diffusion models

Contributors:

Revelli, Roberto (author) / Ridolfi, Luca (author)

Published in:

KSCE Journal of Civil Engineering ; 15 ; 589-593

Publication date:

2011-03-01

Size:

5 pages

ISSN:

1976-3808 , 1226-7988

DOI:

https://doi.org/10.1007/s12205-011-1027-x

Type of media:

Article (Journal)

Type of material:

Electronic Resource

Language:

English

Keywords:

generalized collocation method , nonlinear problems , numerical solution , convection-diffusion models , burgers equation , one-dimensional models , two-dimensional models Engineering , Civil Engineering , Industrial Pollution Prevention , Geotechnical Engineering & Applied Earth Sciences

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