Zhang, Zaibin; Sun, Zhizhong A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations. (Chinese. English summary) Zbl 1240.65266 J. Numer. Methods Comput. Appl. 31, No. 2, 131-140 (2010). Summary: A linearized Crank-Nicolson scheme is established for a class of delay nonlinear parabolic differential equations with Dirichlet boundary value conditions. It is proved that the difference scheme is unconditionally stable and convergent in the \(L_\infty\)-norm. The convergence order is \(O(r^2 + h^2)\). Finally, a numerical example is provided to support the theoretical results. Cited in 4 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 35R10 Partial functional-differential equations 35K55 Nonlinear parabolic equations Keywords:Crank-Nicolson difference scheme; convergence; stability; delay nonlinear parabolic differential equations; numerical example PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{Z. Sun}, J. Numer. Methods Comput. Appl. 31, No. 2, 131--140 (2010; Zbl 1240.65266)