I What Are the Methods for Solving Laplace's Equation in 3D Coordinates?

  • I
  • Thread starter Thread starter Another
  • Start date Start date
  • Tags Tags
    Laplace's equation
Another
Messages
104
Reaction score
5
I can find method of general solution of Laplace's equation in 3 D (in case cartesian, cylinder, and spherical coordinates)

From any book or any where ?
 
Physics news on Phys.org
Google is your friend.
 
Where did you look thus far ? Here too ?
 
Are you talking about numerical solution?
 
A good book is Morse and Feshbach, methods of theoretical physics. There is a 150 page chapter on the Laplace and Poisson equation in part II.
For some quick analytical solutions, you can always go to Polyanin's website:
http://eqworld.ipmnet.ru/en/solutions/lpde.htm
 
Thank you all
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

I sketched the isoclines for $$ m=-1,0,1,2 $$. Since both $$ \frac{dy}{dx} $$ and $$ D_{y} \frac{dy}{dx} $$ are continuous on the square region R defined by $$ -4\leq x \leq 4, -4 \leq y \leq 4 $$ the existence and uniqueness theorem guarantees that if we pick a point in the interior that lies on an isocline there will be a unique differentiable function (solution) passing through that point. I understand that a solution exists but I unsure how to actually sketch it. For example, consider a...
View full post »

Similar threads

I PDEs: Laplace's Equation over a Parallelogram
Replies
10
Views
3K
A Solving Laplace's equation in polar coordinates for specific boundary conditions
Replies
3
Views
3K
A Separation of variables is possible only in 11 coordinate systems?
Replies
7
Views
3K
I Solving a differential equation using Laplace transform
Replies
5
Views
3K
I Solve Laplace's Equation with Laplace Transform
Replies
3
Views
2K
A The boundary conditions in reference to Laplace's equation
Replies
22
Views
4K
Solving Laplace's equation in spherical coordinates
Replies
5
Views
3K
MHB Solve Laplace equation on unit disk
Replies
33
Views
4K
Whittaker's solution and separable variables
Replies
4
Views
2K
How to Solve the Laplace Equation for Potential Flow Around a Sphere?
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top