Reflection of waves

[@Fortitudeize]

Dr. Peyam, I think the case with two walls shown at the end represents a standing wave. Neat, has application to a infinite potential well in quantum mechanics.

[@anhquocnguyen1967]

Dr. Peyam, you are the best!

[@dimastus]

Why the reflected wave is not inverted? I think that the whole point of this method is to consider the odd initial condition case, which leads to 4 different waves. Two above the x-axis starting on the right and going in diiferent directions, and two waves on the left side below the x-axis. After some time one left and one right go through each other (canceling out at some moment), but always zero at zero(so the border condition ot the original task is satisfied). Then left wave become right but still below the x-axis, and this is the actual reflected wave.

[@tahseensaad7860]

Yeah, it is a good point. Waves could have three states in what you have had mentioned. But if they reflected in with same magnitude in oposit direction then, (x,t) will be zero! We need to prove the scenario 🤔

[@non-inertialobserver946]

Bruh how is this comment a month old

[@salvatoregiordano9050]

I really love this video and the connection to the application! Thank you!

[@jewishjewom12ify]

I’m really glad that you’ve started to more stuff related to your field of research. Any advice or books you recommend for someone who is starting grad school soon and is interested in analysis, PDEs, Fourier series, that sort of thing?

[@drpeyam]

Evans PDE

[@drpeyam]

And anything by Stein and Shakarchi

[@mohammedal-haddad2652]

Brilliant approach. Thank you very much.

[@myrtoh.964]

You are the reason my single last brain cell is still working at 2am studying for my exam. Thank you!

[@sanghyeonchang2600]

Sorry, can you explain me why x-ct changes to ct-x at 14:15 ?

[@armanrasouli2779]

Thanks for the amazing content, Keep up the good job!

[@rodrigo_p2821]

I love your videos!!

[@MathwithMing]

Awesome stuff

[@ellen128]

Great great lecture!!! But isn't (x - ct) for the right-moving wave?

[@drpeyam]

Thank you! And you’re correct

[@non-inertialobserver946]

I was just searching for this today, what a coincidence

[@dgrandlapinblanc]

Thanks.

[@Gamma_Digamma]

Now I wish I could have been able to solve my PDE in my biophysics project

[@LongNguyen-ub6rz]

Character In the video It's great, I like it a lot $$

[@tahseensaad7860]

Love you dear. 😊😊😊 Really great. One question. Could you share us the book or the method that all of your videos you do? I will be gratefull if you would. 😊

[@drpeyam]

PDEs by Strauss, but I prefer the book by Evans

[@tahseensaad7860]

Thanks alot dear Dr Peyam

[@رِهامعدنانحنونأبوالهيل]

sir ..why we using here odd function?

[@drpeyam]

To force the function to be 0 at 0

[@رِهامعدنانحنونأبوالهيل]

@@drpeyam Thank you ..🌸 sir possibale explain more

[@drpeyam]

If f is odd then f(0) = 0

[@رِهامعدنانحنونأبوالهيل]

thanm you🌸🌸