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