DocumentCode
1869068
Title
An Improved Iterative Algorithm for Elliptic Equation
Author
Liu, Yang ; Zhang, Liang
Author_Institution
Sch. of Sci., Wuhan Univ. of Technol., Wuhan, China
fYear
2010
fDate
10-12 Dec. 2010
Firstpage
1
Lastpage
3
Abstract
An improved iterative algorithm is presented in this paper for solving finite difference approximation to elliptic equations. This algorithm is based on fourth order finite difference scheme and has obvious property of parallelism. The convergence theory is discussed in detail. Numerical experiments show that the new algorithm has faster convergence rate and higher accuracy than Jacobi method, the iteration number and time for achieving convergence criteria is only a half of the Jacobi method.
Keywords
approximation theory; elliptic equations; finite difference methods; iterative methods; convergence theory; elliptic equation; finite difference approximation; iterative algorithm; Approximation algorithms; Approximation methods; Convergence; Equations; Finite wordlength effects; Iterative methods; Jacobian matrices;
fLanguage
English
Publisher
ieee
Conference_Titel
Computational Intelligence and Software Engineering (CiSE), 2010 International Conference on
Conference_Location
Wuhan
Print_ISBN
978-1-4244-5391-7
Electronic_ISBN
978-1-4244-5392-4
Type
conf
DOI
10.1109/CISE.2010.5676725
Filename
5676725
Link To Document