计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (10): 34-37.DOI: 10.3778/j.issn.1002-8331.2009.10.011

• 研究、探讨 • 上一篇    下一篇

用人工鱼群算法求解二重数值积分

聂黎明,周永权   

  1. 广西民族大学 数学与计算机科学学院,南宁 530006
  • 收稿日期:2008-09-23 修回日期:2008-12-17 出版日期:2009-04-01 发布日期:2009-04-01
  • 通讯作者: 聂黎明

Using artificial fish-swarm algorithm for solving two-dimensional numerical integration

NIE Li-ming,ZHOU Yong-quan   

  1. College of Mathematics and Computer Science,Guangxi University for Nationalities,Nanning 530006,China
  • Received:2008-09-23 Revised:2008-12-17 Online:2009-04-01 Published:2009-04-01
  • Contact: NIE Li-ming

摘要: 提出了利用人工鱼群算法求解二重数值积分的方法,将不等距离分割方法与人工鱼群算法相结合来求解数值积分同时在积分求和式子中引入一个参数。最后给出几个数值积分算例,并与其它数值积分方法作了比较,仿真结果分析表明,该方法具有更高阶的精度和更快的收敛速度。

关键词: 二重数值积分, 人工鱼群算法, 不等距点分割

Abstract: A new method is presented to calculate two-dimensional numerical integration based on artificial fish-swarm algorithm.The method is based on inequality point’s segmentation for solving numerical integration.A parameter has been introduced into expression of integral sum.Finally,several experimental results show that the proposed numerical integration method is more efficient and feasible compared with other numerical integration methods.

Key words: two-dimensional numerical integration, artificial fish-swarm algorithm, inequality point’s segmentation