CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

What is meant by applying boundary conditions on a stationary wave equation ?

Open in App
Solution

Dear Student ,
Boundary conditions for the wave equation describe the behavior of solutions at certain points in space. For instance, the strings of a harp are fixed on both ends to the frame of the harp. If the string is plucked, it oscillates according to a solution of the wave equation, where the boundary conditions are that the endpoints of the string have zero displacement at all times. In general, there are two major types of boundary conditions: afixed-endpoint or Dirichlet boundary conditions, and bfree-endpoint or Neumann boundary conditions, corresponding to holding the end of a string or allowing it to freely oscillate, respectively. Both types of boundary conditions can lead to standing waves, where certain points called nodes have zero displacement at all times and the maximum amplitude of the wave at all points does not change in time.

Regards

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Introduction to Separation
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon