近年来,区域分解算法以可以将大型问题分解为一系列小型问题以减少计算规模及算法可高度并行实现等特点受到了人们的广泛关注。前人也做了很多很好的工作:参考文献[1]中C.N.Dawson等人提出了显一隐格式的区域分解算法,在时间层不分层的内边界点采用大步长向前一中心差分显格式及在内点采用古典隐格式,取得的精度为O(△t+h^2+H^3).参考文献[2]中给出了[1]中区域分解算法对于内边界点为等距分布的多子区域时的新的误差估计,使含日0误差项的系数比【1】中缩小了一倍。还将采用大步长日的Saul’yev的非对称差分格式应用于内边界点,
Discussed a finite difference algorithm of domain decomposition with high accuracy for the parabolic equation. As for domain decomposition method with multi-subdomain, multi-step explicit scheme with high accuracy is used at the interface points and implicit scheme with high accuracy is used at the interior points. A better error bound of the approximate solution is obtained. At last, the parallel efficiency analysis and numerical experiments are also presented.