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Zbl 0995.65095
Sun, Tongjun; Ma, Keyin
Finite difference-streamline diffusion method for quasi-linear Sobolev equations. (Chinese. English summary)
[J] Numer. Math., Nanjing 23, No.4, 340-356 (2001). ISSN 1000-081X

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 $L^\infty(L^2)$-norm, which has $1$-order accuracy in time direction and quasi-optimal order in space variables.
[Ziwen Jiang (Shandong)]

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
65M60 Finite numerical methods (IVP of PDE)
35Q30 Stokes and Navier-Stokes equations
35K55 Nonlinear parabolic equations
65M15 Error bounds (IVP of PDE)

Keywords: convection term; finite difference streamline diffusion scheme; quasi-linear Sobolev equations; error estimate

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