Before systematically exploring the wave equation, it is good to pause and contemplate some basic solutions. We are looking for a function q of 2 variables, x and t, whose second x derivatives and second t derivatives are proportional. You can probably guess such functions with a little thought. But our derivation of the equation from the model of a chain of oscillators gives a strong hint.https://digitalcommons.usu.edu/foundation_wave/1006/thumbnail.jp
Let us now pause to explain in more detail why we called the elementary solutions (9.9) and (9.26) p...
We now turn to the 3-dimensional version of the wave equation, which can be used to describe a varie...
Superimposing a uniformgrid on the space variable in the simple wave equation, for which boundary co...
Before systematically exploring the wave equation, it is good to pause and contemplate some basic so...
An important feature of the wave equation is that its solutions q(r, t) are uniquely specified once ...
Everyone has seen waves on water, heard sound waves and seen light waves. But, what exactly is a wav...
Objective: In this paper we focus our study on wave equations. Westudying the solution of wave funct...
Our next step on the road to a bona fide wave is to consider a more interesting oscillating system: ...
Waves of diverse types surround us. Sound, light and other waves, such as microwaves, are crucial fo...
Our example of a chain of oscillators is nice because it is easy to visualize such a system, namely,...
Newton’s second law or alternatively conservation of energy may be used in general to establish an e...
Waves are seen in many different applications, such as sound waves, electromagnetic waves, and ocean...
In physics, harmonic motion is among the most representative types of motion. A simple harmonic osci...
In physics, harmonic motion is among the most representative types of motion. A simple harmonic osci...
This thesis is about the wave equation. The wave equation describes waves that propagate through a c...
Let us now pause to explain in more detail why we called the elementary solutions (9.9) and (9.26) p...
We now turn to the 3-dimensional version of the wave equation, which can be used to describe a varie...
Superimposing a uniformgrid on the space variable in the simple wave equation, for which boundary co...
Before systematically exploring the wave equation, it is good to pause and contemplate some basic so...
An important feature of the wave equation is that its solutions q(r, t) are uniquely specified once ...
Everyone has seen waves on water, heard sound waves and seen light waves. But, what exactly is a wav...
Objective: In this paper we focus our study on wave equations. Westudying the solution of wave funct...
Our next step on the road to a bona fide wave is to consider a more interesting oscillating system: ...
Waves of diverse types surround us. Sound, light and other waves, such as microwaves, are crucial fo...
Our example of a chain of oscillators is nice because it is easy to visualize such a system, namely,...
Newton’s second law or alternatively conservation of energy may be used in general to establish an e...
Waves are seen in many different applications, such as sound waves, electromagnetic waves, and ocean...
In physics, harmonic motion is among the most representative types of motion. A simple harmonic osci...
In physics, harmonic motion is among the most representative types of motion. A simple harmonic osci...
This thesis is about the wave equation. The wave equation describes waves that propagate through a c...
Let us now pause to explain in more detail why we called the elementary solutions (9.9) and (9.26) p...
We now turn to the 3-dimensional version of the wave equation, which can be used to describe a varie...
Superimposing a uniformgrid on the space variable in the simple wave equation, for which boundary co...