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为研究求解常微分方程的近似解问题,采用理论分析和实例分析的方法,将常微分方程的求近似解问题转化为遗传算法的函数优化问题,借助Matlab遗传算法工具箱实现对常微分方程的求解,并以室内温度摆动问题进行实例分析.研究结果表明:常微分方程的求解问题可以转化为最优化问题,进而将遗传算法应用于求解该最优化问题,最终完成了对常微分方程的求解,同时验证了该算法的有效性与准确性.研究结论拓宽了遗传算法的适用范围,并为常微分方程的求解问题提供了新的理论空间.
In order to study the approximate solution of ordinary differential equations, the method of theoretical analysis and case analysis are used to convert the approximate solution of ordinary differential equations into the function optimization problem of genetic algorithm. With Matlab genetic algorithm toolbox, And the case analysis of indoor temperature swing is carried out.The results show that the solution of ordinary differential equation can be transformed into the optimization problem and the genetic algorithm can be used to solve the optimization problem and the final solution of ordinary differential equation , And the validity and accuracy of the algorithm are also verified.The research results broaden the scope of application of genetic algorithms and provide a new theoretical space for the solution of ordinary differential equations.