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The Natural Boundary Element Method of the Uniform Transmission Line Equation in 2D Unbounded Region

Author

Listed:
  • Fei Teng

    (College of Arts and Sciences, Shanghai Dianji University, Shanghai 201306, China)

  • Taiying Zhu

    (College of Arts and Sciences, Shanghai Dianji University, Shanghai 201306, China)

  • Zhixiong Jiang

    (Commercial College, Shanghai Dianji University, Shanghai 201306, China)

Abstract

Herein, we are mainly concerned with the natural boundary element (NBE) method of the uniform transmission line (UTL) equation defined in the two-dimensional (2D) boundless region, which has a real physical background. We first create the time semi-discretized scheme of the UTL equation, as well as analyze the convergence and stability for the series of time semi-discretized solutions. Then, we create a fully discretized NBE format by means of a natural boundary reduction and analyze the stability and errors between the fully discretized NBE solutions and the analytical solution. Lastly, we employ two numerical examples to verify the effectiveness of the NBE method.

Suggested Citation

  • Fei Teng & Taiying Zhu & Zhixiong Jiang, 2022. "The Natural Boundary Element Method of the Uniform Transmission Line Equation in 2D Unbounded Region," Mathematics, MDPI, vol. 10(24), pages 1-16, December.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:24:p:4702-:d:1000235
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