数值解析方法在求解一维波动方程中的应用

Volume! Pub Date : 2021-05-31 DOI:10.36336/AKUSTIKA20213922

V. Mondrus, D. Sizov

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摘要

本文包含了从初始冲击开始的波在一维杆中的传播问题的解法。本文采用数值解析的方法来解决这一问题。该方法的数值部分是基于有限差分法思想的应用。分析部分采用格林函数的概念，从所考虑区域的空间坐标来解决问题。结果包括在不同时间点得到的解的图形。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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APPLICATION OF A NUMERICAL-ANALYTICAL METHOD FOR SOLVING A ONE-DIMENSIONAL WAVE EQUATION

The article contains a solution to the problem of wave propagation in a one-dimensional rod from the initial impact. A numerical-analytical method is used to solve the problem. The numerical part of the method is based on the application of the idea of the finite difference method. The analytical part uses the concept of Green’s function to solve the problem in terms of the spatial coordinate in the considered area. The results include graphs of the solution obtained at different points in time.

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