Wave phenomena are fundamental for many branches of physics, not only for mechanics. Thus, students at university level should become familiar with the underlying theory, and especially with solutions of the wave equation. This paper refers to a multimedia program for PCs, tablets or smartphones, and introduces and discusses several animated illustrations. The introduced program can illustrate the power of the wave equation. Basic wave phenomena can be computed with numerical methods. The finite difference method which is used can be lead back to fundamental assumptions of physics. Yet, this numerical method is capable of calculating a great variety of wave phenomena. Several examples can demonstrate the power of this numerical procedure. Phenomena like the propagation of circular waves diverging from a point source, Huygens’s elementary waves, superposition of waves, reflexion, refraction and transmission at the interface between different media, scattering, interference phenomena, as well as dispersion and the Doppler effect can be studied in animated visualisations. This opens up a variety of teaching and learning strategies, e.g. the single concept principle and the inverted classroom concept, and the modelling of partial differential equations (the wave equation as well as the heat equation) can be supported. The conceptual approach is described here; an empirical study about learning will be a next step.

波动现象是物理学许多分支的基础，而不仅仅是力学。因此，大学层次的学生应该熟悉基本理论，尤其是波动方程的解。本文涉及用于PC，平板电脑或智能手机的多媒体程序，并介绍和讨论了一些动画插图。引入的程序可以说明波动方程的幂。基本波现象可以用数值方法来计算。所使用的有限差分法可以追溯到物理学的基本假设。然而，这种数值方法能够计算各种各样的波动现象。几个例子可以证明这种数值程序的强大功能。现象就像圆波从点源发散，惠更斯的基波，可以在动画可视化中研究波浪在不同介质之间的界面处的叠加，反射，折射和传输，散射，干涉现象以及色散和多普勒效应。这开辟了多种教学策略，例如单概念原理和倒立课堂概念，并且可以支持偏微分方程（波动方程和热方程）的建模。这里描述概念方法。有关学习的实证研究将是下一步。这开辟了多种教学策略，例如单概念原理和倒立课堂概念，并且可以支持偏微分方程（波动方程和热方程）的建模。这里描述概念方法。有关学习的实证研究将是下一步。这开辟了多种教学策略，例如单概念原理和倒立课堂概念，并且可以支持偏微分方程（波动方程和热方程）的建模。这里描述概念方法。有关学习的实证研究将是下一步。