利用Igor Pro对最速降线问题进行数值求解

Using Igor Pro to solve the brachistochrone problem

使用可视化和实验数据处理科学软件Igor Pro,从解析表达式、微分方程和定义这三个角度详细介绍了最速降线的数值求解方法,通过数值方法利用解析函数计算了小球沿不同曲线下滑所用的时间,详细讨论了每一种方法的求解过程和适用范围,并利用图和表直观地展示了数值求解的全过程.

Using a scientific data visualization and data processing software-Igor Pro,this paper introduces the numerical solution method of the brachistochrone problem in detail from the three aspects of analytical expression,differential equation and numerical method.By using the numerical method,the time of the ball sliding along different curves is calculated by using the analytic function.The solution process and application scope of each method are discussed in detail,and graphs and tables are used to show the whole process of numerical solution.