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Zbl 1002.65518
Dai, Weizhong; Chen, Chuandan
A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. (Chinese. English summary)
[J] Math. Numer. Sin. 11, No.1, 1-9 (1989). ISSN 0254-7791

Summary: We present a three-level difference scheme for two-dimensional nonlinear parabolic differential equations. We show that the scheme converges at a rate of $O(h^2+k^2)$ when $k$ and $h$ are sufficiently small.

MSC 2000:: *65M06 Finite difference methods (IVP of PDE)
65M12 Stability and convergence of numerical methods (IVP of PDE)
35K55 Nonlinear parabolic equations

Keywords: convergence; three-level difference scheme; nonlinear parabolic differential equations

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