数值计算与计算机应用
數值計算與計算機應用
수치계산여계산궤응용
JOURNAL ON NUMERICAL METHODS AND COMPUTER APPLICATIONS
2003年
2期
116-128
,共13页
Nonlinear diffusion equation%difference scheme%high resolution
The compatibility of a nine-point difference scheme is studied in this paper.Based on this result, a new nine-point difference scheme is suggested for the nu-merical solution of nonlinear diffusion equation. The new scheme keeps the same advantages of the original one, i.e., simple in computation and easy to be imple-mented. Furthermore, the new scheme is more accurate than the original one if the mesh is non-smooth and high skewed, which is most important for Lagrange method in computational fluid dynamics.