扩散传输方程的一种亚恒稳定显格式

本文对于扩散传输方程,给出了一种三层显式差分格式,其稳定性条件与步长h有关,当h充分小时,网比r=τ/h~2可以取得任意大,是为亚恒稳定的.最后,我们还讨论了格式的单调性和极值性.

A Subabsolute Stable Explicit Scheme for Diffusion-Convertion Equation

This paper gives an explicit difference scheme with three floors for the diffusion-convection. Its stable condition is relative to space step h. When h is git sufficiently little the net ratio r=r/h2 can be get arbitrarity great, for it the scheme is subabsolute stable. Finally we discuss the monotonicity and extremum property of the scheme.