针对隐式 Runge-Kutta方法不易编程使用,缺乏对各种三级隐式 Runge-Kutta 方法计算精度比较的问题,选取了几种经典的三级隐式 Runge-Kutta方法进行了数值求解,比较了定步长时各方法的计算精度,以及不同步长时各方法的最大计算误差,为三级隐式 Runge-Kutta方法的实际选用提供了依据。
Aiming at the problems that the implicit Runge-Kutta method is hard to use,and lack of precision analysis of implicit Runge-Kutta methods, several classic three-stage implicit Runge-Kutta methods are used to compare their calculation accuracy and the sensitivity of calculation step.The study results provided a reference for the selection of three-stage implicit Runge-Kutta methods.