基于人工鱼群算法求任意函数的数值积分  

Solving Numerical Integration Based on Artificial Fish-swarm Algorithm

作　　者：聂黎明[1] 周永权[1] 

机构地区：[1]广西民族大学数学与计算机科学学院,广西南宁530006

出　　处：《数学的实践与认识》2009年第19期127-134,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(60461001);广西自然科学基金(0542048);国家民委科研项目(08GX01)

摘　　要：将不等距离分割方法与人工鱼群算法相结合,提出一种基于人工鱼群算法求任意函数数值积分的方法,该方法除能计算通常意义下任意函数的定积分外,还能计算奇异函数积分、振荡函数积分以及原函数不易求得的被积函数的积分.最后给出几个数值积分算例,并与传统数值积分方法作了比较,仿真结果分析表明,该算法十分有效,能够快速有效地获得任意函数的数值积分值.A new method is presented to calculate numerical integration based on artificial fish-swarm algorithm. The method which is based on inequality point＇s segmentation for solving numerical integration can not only compute usual definite integral for any functions, but also compute singular integral and oscillatory integral. Finally, several experimental results show that our proposed numerical integration method is more efficient and feasible in computing the arbitrary functions numerical integration compared with traditional numerical integration methods.

关 键 词：人工鱼群算法 不等距点分割 数值积分 

分 类 号：O241.4[理学—计算数学]