File:Fourier heat in a plate.png

Original file(2,932 × 2,752 pixels, file size: 56 KB, MIME type: image/png)

Description
English: Heat distribution in a metal plate, using Fourier's method.
Bahasa Melayu: Pengedaran panas di sebuah plat logam, menggunakan kaedah Fourier.
Basa Sunda: Distribusi panas dina hiji pelat métal, ngagunakeun métoda Fourier.
Date (original upload date)
Source Own work
Author Loisel at English Wikipedia

Licensing

Public domain This work has been released into the public domain by its author, Loisel at English Wikipedia. This applies worldwide.
In some countries this may not be legally possible; if so:
Loisel grants anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

Creation

This file was created with MATLAB

f = @(x,y,n) 2*(((-1).^(2:n+1))./((1:n).*sinh((1:n).*pi))) ...
    * (sin((1:n)'*x).*sinh((1:n)'*y));
ys = 0:0.01:pi;
g = [];
for y = ys
    n = max(20,min(100,-10*log(pi-y)/(pi-y)));
    g = [g; f(ys, repmat(y, 1, length(ys)), n)];
end
g(end, :) = ys';
imagesc(ys,ys,g(end:-1:1,:));
colormap hot
axis square
axis off
print('-dpng',  '-r600', 'Fourier heat in a plate')

Original upload log

The original description page was here. All following user names refer to en.wikipedia.
  • 2010-01-02 10:24 Fastily 409×410× (20774 bytes) Crop out whitespace
  • 2008-02-15 22:32 Loisel 672×504× (12407 bytes) Had to flip MATLAB's silly y coordinates.
  • 2008-02-15 22:24 Loisel 875×672× (13817 bytes) {{Information |Description= |Source=self-made |Date= |Location= |Author=~~~ |Permission= |other_versions= }} MATLAB snippet: f=@(x,y,n) 2*(((-1).^(2:n+1))./((1:n).*sinh((1:n).*pi))) ... * (sin((1:n)'*x).*sinh((1:n)'*y)); ys=0:0.01:pi; g=[]; for y=ys

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current22:31, 25 April 2016Thumbnail for version as of 22:31, 25 April 20162,932 × 2,752 (56 KB)NicoguaroCrop image.
22:28, 25 April 2016Thumbnail for version as of 22:28, 25 April 20164,800 × 3,600 (78 KB)NicoguaroChange in colormap and higher resolution
01:51, 15 May 2010Thumbnail for version as of 01:51, 15 May 2010409 × 410 (20 KB)File Upload Bot (Magnus Manske) {{BotMoveToCommons|en.wikipedia|year={{subst:CURRENTYEAR}}|month={{subst:CURRENTMONTHNAME}}|day={{subst:CURRENTDAY}}}} {{Information |Description={{en|MATLAB/Octave snippet: f=@(x,y,n) 2*(((-1).^(2:n+1))./((1:n).*sinh((1:n).*pi))) ... * (sin((1:n)'
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