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Numerical schemes for a pseudo-parabolic Burgers equation: discontinuous data and long-time behaviour

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: C. Cuesta, I.S. Pop

Editorial: J. Comput. Appl. Math., 224, p.269-283, 2009.


We consider a simplified model for vertical non-stationary groundwater flow, which includes dynamic capillary pressure effects. Specifically, we consider a viscous Burgers-type equation that is extended with a third-order term containing mixed derivatives in space and time. We analyse the one-dimensional boundary value problem and investigate numerically its long-time behaviour. The numerical schemes discussed here take into account possible discontinuities of the solution.

Cuvinte cheie: Pseudo-parabolic equations; Burgers equation; numerical schemes at interfaces, long-time behaviour