拉普拉斯方程从直角坐标系到球面坐标系的变换

The Transformation Of Laplace Equation From Vertical Coordinate To Sphere Coordinate

在球面坐标系中求解拉普拉斯方程一直是《数学物理方法》课程中的主要难点。运用二阶偏导数的运算规则对拉普拉斯方程从直角坐标系到球面坐标系的变换进行推导,推导过程中的数学运算技巧对大学生逻辑思维能力的发展具有很好的促进作用。

The solution of Laplace Equation in sphere coordinate is a major difficult problem in the curriculum of Methods of Mathematical Physics.According to the operational regulations of square oblique derivative,we can transform Laplace Equation from vertical coordinate to sphere coordinate,and the mathematical operational skills used in the deducing process will be helpful to promote the development of logical thinking ability of college students.