利用贝塞尔函数的级数形式进行数值计算的误差分析

An error analysis of numerical calculation by series formula of Bessel function

利用贝塞尔函数的级数形式编制C程序具有简单、直观、容易实现等特点,但只有小宗量时才可以满足精度要求。而对于宗量多少才可以采用这种算法国内尚无相关报道,这给科学研究工作带来了诸多不便。本文从贝塞尔函数的级数形式出发,讨论了利用级数公式进行数值计算所带来的误差,这为复宗量贝塞尔函数的应用提供了可靠的依据。

There are characteristics such as simple,visual,easy implementation etc.to programe by series formula of Bessel function,But only the arguments are very small can it to meet the accuracy needs.But it has no reports at home about how many arguments can this arithmetic adopt,which brings much inconvenience to our scientific effort.The paper discusses the numerical calculation error based on series formula of Bessel function,the results supply a dependable foundation in application of complex argument Bessel function.