THE UNCONDITIONAL STABLE DIFFERENCE METHODS WITH INTRINSIC PARALLELISM FOR TWO DIMENSIONAL SEMILINEAR PARABOLIC SYSTEMS

• 来源期刊: 计算数学（英文版）
• 学科: 数学
• 关键词: Difference Scheme Intrinsic Parallelism Two Dimensional Semilinear Parabolic System Stability.
• 年，卷（期）: 2003,（1）
• 页码范围: 63-70
• 页数: 8页
• 分类号: O1
• 语种: 英文

摘要

In this paper we are going to discuss the difference schemes with intrinsic parallelismfor the boundary value problem of the two dimensional semilinear parabolic systems. Theunconditional stability of the general finite difference schemes with intrinsic parallelismis justified in the sense of the continuous dependence of the discrete vector solution ofthe difference schemes on the discrete data of the original problems in the discrete W2(2,1)norms. Then the uniqueness of the discrete vector solution of this difference scheme followsas the consequence of the stability.