Title :
An Improved Iterative Algorithm for Elliptic Equation
Author :
Liu, Yang ; Zhang, Liang
Author_Institution :
Sch. of Sci., Wuhan Univ. of Technol., Wuhan, China
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;
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
DOI :
10.1109/CISE.2010.5676725
