Dai, Weizhong; Chen, Chuandan A three-level difference scheme for two-dimensional nonlinear parabolic differential equations. (Chinese. English summary) Zbl 1002.65518 Math. Numer. Sin. 11, No. 1, 1-9 (1989). 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. Cited in 7 Documents MSC: 65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs 65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs 35K55 Nonlinear parabolic equations Keywords:convergence; three-level difference scheme; nonlinear parabolic differential equations PDFBibTeX XMLCite \textit{W. Dai} and \textit{C. Chen}, Math. Numer. Sin. 11, No. 1, 1--9 (1989; Zbl 1002.65518)