证明了林建国等(林建国,谢志华,周俊陶.任意精度的三点紧致显格式及其在CFD中的应用.应用数学和力学,2007,28(7):843-852)提出的紧致显格式与传统的差分格式实质相同,是传统差分格式的另一表达形式,并不具有紧致格式的优点.尽管如此,但这种表达形式更紧凑,推导获得高精度的差分表达式相对于传统的Taylor展开求待定系数的方法也更加简单.
It was proved the explicit compact difference scheme, which was proposed by Lin et al. (Three-point explicit compact difference scheme with arbitrary order of accuracy and its application in CFD.Applied Mathematics and Mechanics,2007,28 ( 7 ):843-852 ) has the same performance as the conventional finite difference schemes and it is actually another expression form of the conventional fi- nite difference schemes. Though the proposed expression down' t have advantages of a compact difference scheme, it is easier to be obtained and implemented in a code compared to the conventional expression in which the coefficients should be obtained by solving equations especially for higher accurate schemes.