TY - JOUR
T1 - Incremental Unknowns for the Heat Equation with Time-Dependent Coefficients: Semi-Implicit $\theta$-Schemes and Their Stability
JO - Journal of Computational Mathematics
VL - 5
SP - 573
EP - 582
PY - 2007
DA - 2007/10
SN - 25
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8714.html
KW - Incremental unknowns, Semi-implicit schemes, $θ$-Schemes, Stability.
AB - <p style="text-align: justify;">Based on the finite difference discretization of partial differential equations, we propose a kind of semi-implicit $\theta$-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 $\theta$ is closed to $1/2$ even if we have variable coefficients.</p>