On the approximation of the transport equation by the method of weighted residuals

Luciano Carotenuto, Alfredo Eisinberg and Giancarlo Raiconi

Mathematics and Computers in Simulation (MATCOM), 1983, vol. 25, issue 4, 376-383

Abstract: A general class of approximate models for the transport equation is derived by the Weighted Residual Method using polynomial trial and test spaces. For two, particularly relevant, of such models a closed form of the approximate solution is given in the Laplace-transform domain. A strict connection is established between the approximate transfer function and the Padé approximants to exp(-sx). Furthermore it is shown that Galerkin model minimizes in the considered class a measure of the initial state approximation error. Finally an application to the solution of systems of first order hyperbolic equations is reported.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:25:y:1983:i:4:p:376-383

DOI: 10.1016/0378-4754(83)90057-5

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