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This paper explores numerical methods for solving partial differential equations (PDEs) using the method of nets. The focus is on hyperbolic equations, such as the wave equation, and the application of net methods in solving problems with boundary conditions. The process of solving these equations using computational tools is illustrated, and the accuracy of the results is analyzed. The iterative Gauss–Seidel method is applied to solve systems of algebraic equations generated by the net method.

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Computer-Based Solving of Partial Differential Equations Using the Method of Nets

  • 会议论文

  • 发表日期：

    2026年

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  • Dario Galić,
  • Dejan Stošović,
  • Elvir Čajić,
  • Anita Katić

摘要

This paper explores numerical methods for solving partial differential equations (PDEs) using the method of nets. The focus is on hyperbolic equations, such as the wave equation, and the application of net methods in solving problems with boundary conditions. The process of solving these equations using computational tools is illustrated, and the accuracy of the results is analyzed. The iterative Gauss–Seidel method is applied to solve systems of algebraic equations generated by the net method.