【摘要】 静态场边值问题的解法可以分为解析法和数值法两大类。在解析法中,分离变量法是广泛应用的一种方法。当边界条件有间断时,在应用分离变量法过程中如何适当处理问题是值得注意的。本文讨论了在直角坐标和球坐标中边界存在跃变时静态场计算的两个问题,说明利用间断边界条件确定系数与单纯的傅里叶级数展开的区别,以免得出矛盾的结论。本文就此提出的一点见解,对正确应用分离变量法具有一定参考价值。更多还原

【Abstract】 The solution of a boundary value of static fields can be divided into two kinds which is analytical and numerical.The separation of variables is widely used in the analytical methods.When boundary conditions exists jump discontinuity,how to treat by an appropriate way is important in process to make use of the separation of variable.Static field calculating in cartesian coordinates and spherical coordinates when boundary jump discontinuity existing are discussed in the article.The solution of defining coefficient by using jump discontinuity boundary is different from simple Fourier series deploying,it is important to make a process about the solution in case of getting contrary conclusion,and it is valuable for using separation variables solution.更多还原