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2 SOLUTION METHODS FOR HYPERBOLIC SYSTEMS OF PARTIAL-DIFFERENTIAL EQUATIONS IN CHEMICAL-ENGINEERING

Title
2 SOLUTION METHODS FOR HYPERBOLIC SYSTEMS OF PARTIAL-DIFFERENTIAL EQUATIONS IN CHEMICAL-ENGINEERING
Type
Article in International Scientific Journal
Year
1991
Authors
José Miguel Loureiro
(Author)
FEUP
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Alírio Rodrigues
(Author)
FEUP
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Journal
Vol. 46 No. 8
Pages: 3259-3267
ISSN: 0009-2509
Publisher: Elsevier
Other information
Authenticus ID: P-001-R27
Abstract (EN): Hyperbolic systems of partial differential equations are found in modeling separation and reaction engineering problems. They can be divided into linear, semi-linear, quasi-linear and non-linear equations. In this paper two mathematical tools for the solution of PDEs: the numerical method of characteristics and Lax-Wendroff schemes are reviewed and applied to the solution of various problems: fixed-bed reactor for MTBE synthesis (system of semi-linear equations), separation of xylene isomers (reducible system of quasi-linear equations) and adsorptive reactors (non-reducible system of quasi-linear equations).
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 9
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