Wave equation diagram problem

  • Thread starter JI567
  • Start date
  • #1
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Homework Statement


The question is to sketch for values of t = 0, t =0.25, t = 0.5, t=1 and t = 1.25 for the wave equation

Ytt = Yxx in the infinite domain with initial conditions

y(x,0) = f(x) =
\begin{cases}
1 & \text{if } 0 ≤ x ≤ 1 \\
& 0 (otherwise)
\end{cases}

Yt(x,0) = 0



Homework Equations


Y(x,t) = a(x,t) + b(x,t)

where a(x,t) = ## \frac {1} {2} \ ## f(x+t)
and b(x,t) = ## \frac {1} {2} \ ## f(x-t)

The Attempt at a Solution


These are the sketches I obtained for those times and they are not to exactly measured to the points as I did them in paint. Can someone please tell me if the sketches are correct for this question!

upload_2015-1-7_12-21-36.png

upload_2015-1-7_12-21-54.png


for t =0

upload_2015-1-7_12-22-40.png

upload_2015-1-7_12-22-59.png


for t= 0.25

Attaching the remaining ones in the post below as you can't attach more than 6 in one post.
 

Attachments

Answers and Replies

  • #2
174
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upload_2015-1-7_12-25-50.png

upload_2015-1-7_12-26-14.png


for t = 0.5 s

upload_2015-1-7_12-26-57.png

upload_2015-1-7_12-27-18.png


for t = 1 s
 
  • #3
BvU
Science Advisor
Homework Helper
14,122
3,542
Hi JI,

As you may know, PF has great difficulty handing out approval stamps: it could create big problems with teachers, exam committees and what have you. PF homework is meant to help folks when they get stuck; with hints, questions and advice. My personal opinion is you don't need any of those :)

and ;)
 
  • #4
174
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Hi JI,

As you may know, PF has great difficulty handing out approval stamps: it could create big problems with teachers, exam committees and what have you. PF homework is meant to help folks when they get stuck; with hints, questions and advice. My personal opinion is you don't need any of those :)

and ;)
Look man can you be more clear? I don't understand what are you talking about. All I asked is if my sketches are correct or not, I am not asking you to do my homework for me.
 
  • #5
BvU
Science Advisor
Homework Helper
14,122
3,542
Yes I can be more clear: I think what you did is excellent -- but you can't derive any rights from my statements.

My post #3 tries to express some reluctance about the "Is this correct" questions.
 
  • #6
174
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Yes I can be more clear: I think what you did is excellent -- but you can't derive any rights from my statements.

My post #3 tries to express some reluctance about the "Is this correct" questions.
Cheers mate! I just realized I missed out t= 1.25 s for this question

Can you see the sketches for t = 1.25 s are excellent as well

upload_2015-1-7_16-56-53.png

upload_2015-1-7_16-57-14.png
 
  • #7
BvU
Science Advisor
Homework Helper
14,122
3,542
As I said: you're so good you don't need assistance here :)

You do have me wondering what's the reason you ask for confirmation: you clearly understand everything that's going on, so why this possible doubt ?
 
  • #8
174
0
As I said: you're so good you don't need assistance here :)

You do have me wondering what's the reason you ask for confirmation: you clearly understand everything that's going on, so why this possible doubt ?
Cheers! I just want to be 100% sure that my works are correct so that I get full marks....so even if I understand everything I want to confirm with people who has more knowledge than me.
 

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