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Finite difference-streamline diffusion method for quasi-linear Sobolev equations. (Chinese) Zbl 0995.65095
The authors give a finite difference streamline diffusion scheme for solving quasi-linear Sobolev equations. They prove the solvability of the given scheme and derive a quasi-optimal error estimate in L (L 2 )-norm, which has 1-order accuracy in time direction and quasi-optimal order in space variables.
MSC:
65M06Finite difference methods (IVP of PDE)
65M60Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods (IVP of PDE)
35Q30Stokes and Navier-Stokes equations
35K55Nonlinear parabolic equations
65M15Error bounds (IVP of PDE)