Differential Equations Lecture Work Solutions 287

Differential Equations Lecture Work Solutions 287 - 9 8 7 6...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
-1 0 1 2 3 4 5 6 7 8 9 -1 0 1 2 3 4 5 6 7 8 9 x t x-ct<0 x-ct>0 Figure 57: Domain of influence for problem 3 3b. u ( x, t )= f ( x + ct )+ f ( x ct ) 2 x>ct f ( x + ct f ( ct x ) 2 x<ct where u ( x, t 1R e g i o n I 1 2 Region II 0o t h e r w i s e In order to ±nd the regions I and II mentioned above, we use the idea of domain of influence. Sketch both characteristics from the end points of the interval (2,3) and remember that when the characteristic curve (line in this case) reaches the
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 12/22/2011 for the course MAP 2302 taught by Professor Bell,d during the Fall '08 term at UNF.

Ask a homework question - tutors are online