Transmission Line Computer Simulation Model with Trapezoidal Rule

The paper considers computer simulation of the transmission lines that are used in telecommunications. Previously, the authors chose explicit Euler algorithm to perform transition from the system of differential equations to the difference one because of this algorithm’s simplicity. Nevertheless, explicit Euler algorithm can accumulate errors. Because there are no analytical ways to assess the errors, this paper proposes using trapezoidal rule to secure transition from the system of differential equations to the one of difference. Two computer simulation models, one with explicit Euler algorithm and the other with Trapezoid rule, were compared for the same simulation scenario. The simulation setup involved video pulse transmission over the telecommunication line in the form of a coaxial cable. Obtained results prove that for the small time increment, the performances of the two computer simulation models are nearly identical, while for a bigger time increment the model based on the explicit Euler algorithm becomes unstable. The developed computer simulation model can be used in design and improvement of transmission lines in telecommunications.