点电荷相互作用能与一类二重积分的算法  

Energy interaction and algorithms of a kind of double integration with poles

作　　者：朱世德[1] 向安平[1] 

机构地区：[1]成都气象学院基础科学系

出　　处：《成都气象学院学报》1999年第3期277-279,共3页

摘　　要：在柱面坐标系下，点电荷的相互作用能是ｚ和ρ的具有极点的二重积分。此类积分有简单的解析解，但不容易数值计算。Ｍａｔｈｅｍａｔｉｃａ３．０和ＭａｐｌｅＶ不能求解此类积分；Ｇａｕｓｓ－Ｌｅｇｅｎｄｒｅ算法只能获得粗略结果，Ｒｕｎｇｅ－Ｋｕｔａ算法虽能成功地计算，但不能交换积分顺序。The interaction energy of two point charged particles is the double integral of z and ρ with poles in the cylindrical coordinate system.It has a simple analytic solution which is difficult to be computed.The commercial programs Mathematica 3.0 and Maple V cannot solve this kind of integrals.The Gauss Legendre algorithm gives a rough result and the Runge Kutta algorithm cannot exchange the integration order though it gives the result successfully.

关 键 词：点电荷的相互作用能 有极点二重积分 数值算法 

分 类 号：O441.1[理学—电磁学]