对流扩散方程的新型Crank-Nicholson差分格式

A NEW CRANK-NICHOLSON DIFFERENCE SCHEME FOR CONVECTION-DIFFUSION EQUATIONS

本文针对一维非定常对流扩散方程,构造了一种对角元严格占优的CrankNicholson差分格式,利用能量估计的方法对该格式做了稳定性分析,收敛性收分析以及误差估计.数值试验结果表明,该格式具有良好的稳定性.

This paper establishes a Crank-Nicholson difference scheme that produces a matrix which is diagonal-dominated. The stability, convergence and error estimation are discussed by energy method. The result of numerical experiment indicates that the scheme is stable.