常微分方程数值解法在建模中的应用

Application of Numerical Solution of Ordinary Differential Equations in the Modeling

给出了常微分方程初值问题的加权改进欧拉数值格式,通过实例与改进的欧拉数值格式进行比较,改进后的精度要比原来的高。应用到数学建模中,可以更好地解决实际问题。

Weighted improvement Euler method for computing initial Problem in Differential equation is introduced. Through examples, we compare with the improvement Euler method, and find that the weighted improvement Euler method is higher in accuracy. Applied to mathematical modeling, this method can better solve practical problems.