Title :
A Weighted Difference Scheme and Calculation of Parabolic Equation
Author :
Li, Yun Ming ; Ge, Kun ; Gui, Bing ; Yan, Min Li
Author_Institution :
Nanjing Coll. of Chem. Technol., Nanjing, China
Abstract :
In practical simulations, difference algorithms are often chosen to solve large partial differential equations. In this paper, a new weighted three-implicit difference scheme is constructed for one-dimensional parabolic equation. The truncation error and stability of difference scheme are studied in detail. Numerical results show that the new method is feasible and effective, indeed.
Keywords :
parabolic equations; partial differential equations; difference scheme stability; one-dimensional parabolic equation; partial differential equation; truncation error; weighted three-implicit difference scheme; Approximation methods; Equations; Finite wordlength effects; Mathematical model; Numerical stability; Stability analysis; Thermal stability; difference scheme; parabolic equation; stability;
Conference_Titel :
Information and Computing (ICIC), 2011 Fourth International Conference on
Conference_Location :
Phuket Island
Print_ISBN :
978-1-61284-688-0
DOI :
10.1109/ICIC.2011.33
