摘要
本文给出了一种新的任意网格上的高阶差分格式——高阶B格式，理论分析及数值实例表明，该格式具有以下优点：（1）相容；（2）能随网格的退化而自动退化为高阶中心格式；（3）当网格为对称非直角网格时具有更高阶的相容性精度．
In this paper,a new high order difference scheme for abitrary mesh,called high-orderB scheme, is formulated. The theroy analysis and numerical example show that,the peculiari-ties of the scheme can be summed up as follows: (1)consistence. (2)With the reduction of therectangular niesh, the scheme will be reduced to the central difference formula automatically.(3)If the mesh is symmetric,the scheme will be provided with higher accuracy.
