Re: Laplce equation

*To*: mathgroup at smc.vnet.net*Subject*: [mg40007] Re: Laplce equation*From*: Ferdinand <ferdinand.cap at eunet.at>*Date*: Fri, 14 Mar 2003 04:47:44 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Dear Nguyen Binh Minh, I suggest the setup U[r,theta,phi]=R[r]T[theta]F[phi] and Expand[(Laplacian[U[r,theta,phi],Spherical[r,theta,phi]])*r^2/U[r,theta,phi]] gives ordinary differential equations for R[r], T[theta], and F[phi]. Depending on the location of your demicircle depending on theta, you solve the boundary value problem for F[phi], see for instance page 99 equation (3.1.79) of Mathematical Methods of Physics and Engineeering with Mathematica, CRCPress, Tokyo 2003