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An Effective and Efficient Method to Solve the High-Order and the Non-Linear Ordinary Differential Equations: the Ratio Net
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  • Chen-Xin Qin,
  • Ru-Hao Liu,
  • Mao-Cai Li,
  • Sheng-Yuan Li,
  • Yi Liu,
  • Chi-Chun Zhou
Chen-Xin Qin
Dali University
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Ru-Hao Liu
Nanchang University - Qianhu Campus
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Mao-Cai Li
Dali University
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Sheng-Yuan Li
Dali University
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Yi Liu
Dali University
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Chi-Chun Zhou
Dali University

Corresponding Author:[email protected]

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Abstract

An effective and efficient method that solves the high-order and the nonlinear 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.