For one-dimensional convection-diffusion equation, at first, the differential equations is semi-discrete approximation. 本文研究了求解对流扩散方程的指数型差分格式。
In this paper is considered the long time behavior for Sobolev equation in single space variable. We have constructed semi-discrete and full-discrete pseudospectral approximation and obtained uniform optimal error estimates in time interval 0 ≤ t < ∞. 考虑一维Sobolev方程的大时间问题,构造了它的半离散和全离散拟谱逼近,获得了时间区间0≤t<∞上一致最优阶的误差估计。