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

作　　者：Yujiang Wu Aili Yang 

机构地区：[1]School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, China

出　　处：《Journal of Computational Mathematics》2007年第5期573-582,共10页计算数学（英文）

基　　金：This project is partially supported by Natural Science Foundation of Gansu Province under Grant 3ZS041-A25-011 ;by National Natural Science Foundation under Grant 10471056.

摘　　要：Based on the finite difference discretization of partial differential equations, we propose a kind of semi-implicit θ-schemes of incremental unknowns 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.Based on the finite difference discretization of partial differential equations, we propose a kind of semi-implicit θ-schemes of incremental unknowns 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.

关 键 词：Incremental unknowns Semi-implicit schemes θ-Schemes Stability. 

分 类 号：O241[理学—计算数学]