A new difference scheme with high accuracy and absolute stability for solving convection-diffusion equations
By Heng-fei Ding, Yu-xin Zhang. 2009
60 citations recorded by the source corpus.
In this paper, we use a semi-discrete and a pade approximation method to propose a new difference scheme for solving convection-diffusion problems. The truncation error of the difference scheme is O(h^[email protected]^5). It is shown through analysis that the scheme is unconditionally stable. Numerical experiments are conducted to test its high accuracy and to compare it with Crank-Nicolson method.
Subfields: Computational Mechanics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/e771372cc3e560d32f83303dcb7043041058f8b4
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In Computational Mechanics
In Numerical Analysis
Citations in the corpus
- Redefined cubic B-splines collocation method for solving convection–diffusion equations (2012, methodology): “Various numerical techniques have been developed and compared for solving the one dimensional convection–diffusion equation with constant coefficient [1–13].”