This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 7. Boas, Chapter 13, Section 7, Problem 18 1 8. In class, we found that in the case of diusion, if at t=0 we have u ( x,y,t = 0) = ( xx ) ( yy ), the subsequent distribution is given by the Green function G ( x,x ,y,y ; t ) = 1 4 2 t e( xx ) 2 +( yy ) 2 4 2 t At t = 0, we place a point source in the rst quadrant at x = a and y = b (where a &gt; 0 and b &gt; 0). We also have boundary conditions u x = 0 for x = 0, and u = 0 for y = 0. Using the image method and the Green function given above, determine the distribution u ( x,y,t ) in the rst quadrant ( x &gt; 0 and y &gt; 0). Sketch the source and the images, using plus sign for sources and minus signs for any sinks. 2...
View
Full
Document
 Spring '03
 Staff

Click to edit the document details