Lainevõrrandi
Lainevõrrandi, also known as the wave equation, is a fundamental partial differential equation that describes the propagation of various types of waves, such as sound waves, light waves, and water waves. In its simplest one-dimensional form, it is typically written as:
Here, u represents the displacement or amplitude of the wave, t is time, x is the spatial
The wave equation can be extended to higher dimensions, for example, in two dimensions:
∂²u/∂t² = c² (∂²u/∂x² + ∂²u/∂y²)
∂²u/∂t² = c² (∂²u/∂x² + ∂²u/∂y² + ∂²u/∂z²)
Solutions to the wave equation can take many forms, often involving trigonometric functions or exponentials, and