求解对流扩散方程的一种新的隐格式

A new kind of Implicit Difference scheme For Diffusion-Convection Equation

给出了求解对流扩散方程的组合差商算法,构造了一类隐式差分格式,其精度为o(τ2+h2),按网比r=τh恒稳定,并分析了对角占优条件。数值例子验证了理论分析结果的有效性。

A new kind of implicit difference scheme for diffusion-convection equations is proposed.The truncation error of the scheme is of order o(τ2+h2).According to the net proportion r=τh,the implicit difference scheme is always stable and analyses the diagonally dominant codition.Finally,a numerical example shows that the scheme are effectives.