Mathematics Homework Solutions
#10845
Laplace and polar coordinates
(lap) means the Laplacian
Vrr means the second derivative of V with respect to r
V(theta theta) means the second derivative of V with respect to theta
Solve:
(lap)V(r,theta)= Vrr+(1/r)Vr+(1/r^2)V(theta theta)=0
0 < r < 1, -(pi) < theta < pi
V(1,theta) = {1, -(pi/2) < theta < (pi/2)
{0, elsewhere
Please show all work including the derivation of any eigenvalues or eigenvectors.
Thank you
This shows how to solve an elliptic boundary value problem with Laplace and polar coordinates
What is this?
By OTA - Overall OTA Rating
Departed OTA
Purchase Cost Now
$2.19 CAD (was ~$11.97)
Included in Download
- Plain text response
- Attached file(s):
- 10845.doc
Why you can trust BrainMass.com
- Your Information is Secure
- Best Online Academic Help Service
- Students find real academic Success
- Polar Coordinates; Laplace's Equation; Boundary Conditions; Wedge Domain - I need some clues on figuring out these questions. Please see attachment for complete problems (regarding the below: "..." indicates an equation to be found in the attachment. Thanks!) (a) Using po ...
- converting polar coordinaes to retangular coordinates - convert the coordinates polar r=15, 0=2.75 (x,y)=?
- Cylindrical Polar Coordinates - Find V in cylindrical polar coordinates. Is my working correct? (See attached file for full problem description).
- Polar coordinates of the point - Rectagular coordinates of a particular point are x=7, y= negative 24. find the polar coordinates of the point
- Elliptic Boundary Value Problem - Uxx means second derivative with respect to x Uyy means second derivative with respect to y Uxx + Uyy = 0, 0 < x < pi, 0 < y < pi U(x,0) = 0, U(x,pi) = 1, 0 < x < pi U(0,y) = 0, U(pi,y) ...
