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- Title
INCREMENTAL UNKNOWNS FOR THE HEAT EQUATION WITH TIME-DEPENDENT COEFFICIENTS: SEMI-IMPLICIT θ-SCHEMES AND THEIR STABILITY.
- Authors
Yujiang Wu; Aili Yang
- Abstract
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 0 is closed to 1/2 even if we have variable coefficients.
- Subjects
HEAT equation; PARTIAL differential equations; MATRICES (Mathematics); LINEAR algebraic groups; MATHEMATICS
- Publication
Journal of Computational Mathematics, 2007, Vol 25, Issue 5, p573
- ISSN
0254-9409
- Publication type
Article