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JOURNAL OF MECHANICAL ENGINEERING  > 2020  >  32(3): 033202.
Xutong Wang, Hui Zhou, Liang Ma, Yinhui Cheng, Jinxi Li, Yifei Liu, Mo Zhao, Jinghai Guo, Wenbing Wang. High-precision Runge-Kutta method for transmission line equation[J]. JOURNAL OF MECHANICAL ENGINEERING, 2020, 32(3): 033202. doi: 10.11884/HPLPB202032.190402
Citation: Xutong Wang, Hui Zhou, Liang Ma, Yinhui Cheng, Jinxi Li, Yifei Liu, Mo Zhao, Jinghai Guo, Wenbing Wang. High-precision Runge-Kutta method for transmission line equation[J]. JOURNAL OF MECHANICAL ENGINEERING, 2020, 32(3): 033202. doi: 10.11884/HPLPB202032.190402
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High-precision Runge-Kutta method for transmission line equation

doi: 10.11884/HPLPB202032.190402
  • Received Date: 14 Oct 2019
  • Rev Recd Date: 25 Nov 2019
  • Publish Date: 17 Mar 2020
    Abstract
  • This paper presents a high-precision Runge-Kutta (RK) method for solving transmission line equations. This method adopts high-order Taylor expansion in space, which improves the approximation accuracy of spatial differentiation. Compared with the traditional finite element time-domain method, when the number of samples per wavelength is the same, RK method has higher precision. At the same time, according to the Taylor model, researchers use RK method to solve transmission line equation in the external field excitation. The correctness and high precision of the RK method are verified by numerical examples of our study.

     

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