摘要
设计构造了两点边值问题的一种四阶格式的交替分组迭代算法,其基本思想是把高阶差分格式的差分方程组划分为若干个子方程组来分别同时进行迭代求解.给出了构造此算法的过程,并用矩阵理论证明了迭代的收敛性,随后针对具体例子给出了数值实验结果,数值算例验证了理论分析的正确性和算法的可行性与有效性.
In this paper, by constructing a new four-order parallel alternating group iterative algorithm, we solve the two point boundary value problem. The main method is to divide the system of different equations into a set of subsystem which can be solved individually in parallel. 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.
出处
《河南科学》
2013年第5期573-576,共4页
Henan Science
基金
国家自然科学基金资助项目(10901093)
山东省青年基金资助项目(ZR2009AQ004)
关键词
两点边值问题
高阶差分格式
交替分组迭代法
收敛性分析
two point boundary value problem
high order difference scheme
alternating group iterative algorithm： convergence analysis
