INCREMENTAL UNKNOWNS FOR THE HEAT EQUATION WITH TIME-DEPENDENT COEFFICIENTS:SEMI-IMPLICIT θ-SCHEMES AND THEIR STABILITY

• 来源期刊: 计算数学（英文版）
• 关键词: Incremental unknowns,Semi-implicit schemes,θ-Schemes,Stability
• 年，卷（期）: 2007,（5）
• 页码范围: 573-582
• 页数: 10页
• 语种: 英文

摘要

Based on the finite difference discretization of partial differential equations,we propose a kind of semi-implicit θ-schemes of incremental unkriowns type for the heat equation with time-dependent coefficients.The stability of the new schemes is carefully studied.Some new types of conditions give better stability when θ is closed to 1/2 even if we have variable coefficients.