摘要
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.
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 numerical 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 implemented. 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.
出处
《数值计算与计算机应用》
CSCD
北大核心
2003年第2期116-128,共13页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(No.10271019)
中国工程物理研究院预先研究基金(No.20020651)资助项目
