Method of images to solve green's function problems

pivoxa15
Messages
2,250
Reaction score
1
How does the method of images work? I can see why it works (by going back to the form of the Green function and differentiating) but don't see how useful it is
to solve problems. At the moment I am basically memorising the different
images for each boundary condition which I am sure is not the way to go.
How do you think about it so that one can work out the solution logically from the method of images?

Is there a way to work out the solution from the method of images alone without needing to do any differentiation?
 
Last edited:
Physics news on Phys.org
Ttt !
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Calculating Residue at -2: Math Methods w/ Arfken et al.
Replies
4
Views
1K
Finding the image of a multivariate function
Replies
19
Views
2K
How to get general solution via Green's function?
Replies
1
Views
1K
Is this vector in the image of the matrix?
Replies
4
Views
2K
Green's theorem with a scalar function
Replies
2
Views
2K
Solving system of differential equations using elimination method
Replies
10
Views
1K
Surface Area of a Sphere in Spherical Coordinates
Replies
14
Views
2K
Use Wronskian method in solving the given second order differential equation
Replies
7
Views
2K
A Function and its Domain, Codomain and Image
Replies
2
Views
2K
A Why is "method of image current" valid in magnetostatics?
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top