Heun方法中用Simpson公式校正的改进

Improved Correction by Simpson's Rule in Heun's Method

针对求解常微分方程初值问题的Heun方法,利用Simpson公式进行校正,其中采用二次Taylor级数展开,改进了数值近似解的精度,并进行了实例说明.

Based on Heun＇s method, We apply a Taylor series expansion of order two, use Simpson＇s rule to make a correction, and obtain final numerical approximate solutions of the initial value problem of ordinary differential equations. The method improves the precision of numerical approximations of original Heun＇s method. Moreover, a typical example is given for more sufficient explanations.