The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves …

Equation 16.3.13 is the linear wave equation, which is one of the most important equations in physics and engineering. We derived it here for a transverse wave, but it is equally important …

The above equation is known as the wave equation. It states the mathematical relationship between the speed (v) of a wave and its wavelength (λ) and frequency (f).

In most cases, one can start from basic physical principles and from these derive partial differential equations (PDEs) that govern the waves. In Section 4.2 we will do this for …

The wave equation for a wave in an ideal string can be obtained by applying Newton's 2nd Law to an infinitesmal segment of a string. In order for the wave equation to apply to the waves in a …

The wave equation is a key mathematical model that describes how waves propagate through space and time. It’s a second-order partial differential equation that links the wave's …

These two rigidly moving functions are the waves of the wave equation. From here on, we refer to f(x ct) as the right-traveling wave, and to g(x + ct) as the left-traveling wave.

One of the most fundamental equations to all of Electromagnetics is the wave equation, which shows that all waves travel at a single speed - the speed of light. On this page we'll derive it …

Because the wave equation is linear, we can use superposition to find more solutions. In particular the superposition of infinite standing waves can describe any initial conditions.

The wave equation governs a wide range of phenomena, including gravitational waves, light waves, sound waves, and even the oscillations of strings in string theory.