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Second-order methods for diffusion-convection equations

✍ Scribed by Kohler, Theresa ;Voss, David

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
141 KB
Volume
15
Category
Article
ISSN
1069-8299

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✦ Synopsis

The method of lines provides a ¯exible and general approach for solving time-dependent PDEs. However, the numerical solution of the resulting ODE system can present certain diculties depending on the method used. In particular, oscillations may appear in the solution when standard methods are applied to the ODE system arising from the semi-discretization of the diusion±convection equation duadt ad 2 uadx 2 Àbduadx. We examine second-order methods for such systems and present economical L-stable predictor± corrector schemes which are oscillation-free.

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