• 论文 •

### 求解相同PDE不同边值问题的一种简化D-N交替法

1. 合肥工业大学数学学院, 合肥 230009
• 收稿日期:2013-09-21 出版日期:2014-06-15 发布日期:2014-05-29

Dong Yongxin, Wang Shoucheng. A SIMPLIFIED D-N ALTERNATIVE METHOD FOR THE SAME PDE WITH DIFFERENT BOUNDARY CONDITIONS[J]. Journal of Numerical Methods and Computer Applications, 2014, 35(2): 125-130.

### A SIMPLIFIED D-N ALTERNATIVE METHOD FOR THE SAME PDE WITH DIFFERENT BOUNDARY CONDITIONS

Dong Yongxin, Wang Shoucheng

1. School of Mathematics HeFei University of Technology, HeFei 230009, China
• Received:2013-09-21 Online:2014-06-15 Published:2014-05-29

In this paper, we constructed a simplified D-N alternative method to solve Poisson equation with different boundary value problems. First we compute two equation's coefficient matrixes and the function value's difference preestimate matrix. Then the simplified D-N alternative method was used. The method was simplified and could solve Poisson equation with different boundary value problems once. Hence the computing efficiency was promoted. Also we got the representation of the relaxation parameter θn which was equivalent to that in the Richardson's iteration, being optimal, and the true solution which was in simplified D-N alternative method of related problems u.

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