Chronology Current Month Current Thread Current Date
[Year List] [Month List (current year)] [Date Index] [Thread Index] [Thread Prev] [Thread Next] [Date Prev] [Date Next]

Re: visualizing fields near charged objects

A partial answer to this question is that one must develope a finite
difference scheme to approximate the laplacian in these coordinates. Some
references that are readily available and may be of partial help.

Abromowitz & Stegun: section 25 around page 877

This is a Dover publication titles "Handbook of Mathematical Functions"

CRC 30th ed. math tables around page 705-715, the section on numerical

Hope this may be of some help.

Joel Rauber

-----Original Message-----
From: Forum for Physics Educators
[]On Behalf Of Ludwik Kowalski
Sent: Friday, February 09, 2001 8:28 AM
Subject: Re: visualizing fields near charged objects

And what is the corresponding formula for "a" when it has
six neighbors (3-dim)? Suppose f and g are added in the phi
direction. I do not trust myself in trying to answer this
question on the basis of the general theoretical formula.
Ludwik Kowalski

John Mallinckrodt wrote:

On Fri, 9 Feb 2001, John Mallinckrodt wrote:

where r_a is the radial index for cell a. Setting the Laplacian =
0 and solving for a we get

a = (b+c+d+e)/4 + (c-e)/(2*r_a)

Oops! I should have said:

a = [ (b+c+d+e) + (c-e)/(2*r_a) ]/4