An effective and efficient method that solves the high-order and the non-linear ordinary differential equations is provided. The method is based on the ratio net. By comparing the method with existing methods such as the polynomial based method and the multilayer perceptron network based method, we show that the ratio net gives good results and has higher efficiency.

翻译：提供了解决高阶和非线性普通差分方程式的有效和高效方法。该方法以比率网为基础。通过比较该方法与现有方法,如多级基方法和多层光子网络基方法,我们发现该比率网效果良好,效率更高。