Title :
A High-Order Alternating Group Iterative Algorithm
Author_Institution :
Dept. of Math. & Stat., Shandong Univ. of Finance, Jinan, China
Abstract :
In this paper, by constructing a new high-order parallel alternating group iterative algorithm, we solve the two point boundary value problem. The main method is to dividing the system of different equations into a set of subsystem which can be solved individually in parallel and four order accurate. We have obtained the main results and given some examples to validate our results in addition. It shows that the analysis is correct and the algorithm is feasible and efficient.
Keywords :
boundary-value problems; iterative methods; high order alternating group iterative algorithm; parallel alternating group iterative algorithm; point boundary value problem; Boundary value problems; Convergence; Differential equations; Eigenvalues and eigenfunctions; Equations; Finite wordlength effects; Iterative methods; alternating group iterative algorithm; convergence; high order difference scheme; two point boundary value problem;
Conference_Titel :
Computational Sciences and Optimization (CSO), 2011 Fourth International Joint Conference on
Conference_Location :
Yunnan
Print_ISBN :
978-1-4244-9712-6
Electronic_ISBN :
978-0-7695-4335-2
DOI :
10.1109/CSO.2011.32
