二维对流扩散方程恒稳的蛙跳积分格式

A Steady Leapfrog Integration Scheme for Solving Two-Dimensional Convection-Diffusion Equation

给出二维对流扩散方程的单点精细积分法导出的显式蛙跳积分格式 ,并证明它是无条件稳定的 .进行相容性分析 ,给出相容性条件 .用数值例子 ,表明该格式是有效的 .

For solving two dimensional convection diffusion equation, the author gives here an explicit leapfrog integration scheme deriving from single point precise integration method. The scheme is proved to be unconditionally stable. Its consistency is analysed and the condition of its consisteney is given. The scheme is idicated by numerical example to be effective.