根据Sobolev方程的特点,采用了经济型差分-流线扩散法研究了其初边值问题,建立其EFDSD格式,分析了该方法的稳定性和收敛性,并得到了H∞-模误差估计.
The economical finite difference-streamline diffusion Method is presented for linear Sobolev equation and the parabolic integro-differential equation. The stability and convergence properties of the method are examined. The error estimate in L^2 norm is obtained.