常微分方程近似解的遗传算法研究

摘要

讨论了利用遗传算法研究常微分方程初值问题的近似解的求解方法．研究了利用多项式逼近微分方程近似解的方法，并用遗传算法控制各项系数以达到最佳逼近效果，经实验证明该方法数值精度比较理想，且优于通常的数值解．%In this paper, we use the genetic algorithm to search the approximate solutions of normal differential equation. We use the polynomial to approximate the real solve of the equation and select the optimized coefficients by Genetic Algorithm. The result proves the method is better than some numerical solution methods and the numerical precision is quite acceptable.