| PN结泊松方程的一种改进算法及其Matlab验证 |
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| 引用本文： | 邓宏贵,郭俊,刘利强,周克省.PN结泊松方程的一种改进算法及其Matlab验证[J].中南大学学报(自然科学版),2008,39(5). |
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| 作者姓名： | 邓宏贵 郭俊 刘利强 周克省 |
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| 作者单位： | 中南大学,物理科学与技术学院,湖南,长沙,410083 |
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| 基金项目： | 国家高技术研究发展计划(863计划)强辐射重点实验室基金 |
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| 摘 要： | 针对在PN结泊松方程求解过程中几种常用方法存在的不足,提出一种改进算法.该算法结合求解非线性方程组的Newton迭代法与SOR(逐次超松弛迭代)法,即用松弛因子对Newton迭代过程的前、后2项进行加权平均,组成新的迭代公式.为进一步完善算法,在迭代公式中修改松弛因子,采用最佳松弛因子形式.根据改进算法的计算思路,运用Matlab7.0编程,对算法进行仿真与模拟.结果表明:算法真实可行,既保持计算的高精度,也明显地减少计算的迭代次数,提高求解过程的收敛速度,且仿真图像与文献图像较吻合.
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| 关 键 词： | 泊松方程 Newton迭代法 逐次超松弛迭代法 |
An ameliorative arithmetic of Poisson equation for PN junction and its verification of Matlab |
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| DENG Hong-gui,GUO Jun,LIU Li-qiang,ZHOU Ke-sheng.An ameliorative arithmetic of Poisson equation for PN junction and its verification of Matlab[J].Journal of Central South University:Science and Technology,2008,39(5). |
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| Authors: | DENG Hong-gui GUO Jun LIU Li-qiang ZHOU Ke-sheng |
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| Institution: | DENG Hong-gui,GUO Jun,LIU Li-qiang,ZHOU Ke-sheng (School of Physics Science , Technology,Central South University,Changsha 410083,China) |
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| Abstract: | There exist some disadvantages in several common methods for solving the Poisson equation of PN junction,and so a new ameliorative arithmetic was presented.It combined Newton iterative method for solving nonlinear equations and SOR(Successive over-relaxation) method,which means weighted average between the two closed items in Newton iterative method.Finally the relaxation factor was revised to the best relaxation factor so as to improve the arithmetic better.According to the thinking of computing,the amelio... |
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| Keywords: | Poisson equation Newton iterative method successive over-relaxation method |
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