Similarity solution method: PDE

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Here is one video which not only gives ideas but also teaches how to teach. Thank you sir. You're awesome.

sayantansarkar

Dear Dr Chris, I appreciated and admire the effort you put into explaining these methods. Thanks a lot! very helpful!

wakil

so wonderful...i was badly puzzled before I watched this video..Thanks a lot Dr.

BeautifulWorld

Why you exactly integrat from p to infinity ? Thank you doctor

samirelhajjj

Really good explanation and creative set-up, but your video blocks the text on your slides at times.

mayachen

I don't get the reason to choose a^gamma=t^(-r). Is it important, in general case, whether to choose it as t^r or t^(-r)?

maxdoring

Can I download the file of paper? I really need it to study myself. Some part are blocked by the screen, so I cannot see that part.

kimsoobin

Can you recommend a good book about the theory of the self-similarity method?

eliopereira

Dear Chris, can you give an example on solving the diffusion on a infinite rod, using the reflection method, the Laplace transform which eventually gives a Error function solution?

sergiomanzetti

Brilliant and clear! You earned new subscriber!

joonasmakinen

Hello sir. Your video on PDE is very helpful. I have a doubt plz help me with this. Can we solve the equation, Uxx + Uyy =aU, where a is constant and U is dependent variable, Using similarity solution. I have tried but value of alpha and beta is coming zero.

iamkaushiki

How do you determine the similarity variable to apply for a given flow problem.

muthiganganga

Thank you very much, Dr. Tisdell for this clear lecture.

mohammadsarrafjoshaghani

In the method summary, step-3, can we assume the solution u(x, t)=x^(-r) g(P)?

khushboopatel

What is g though and why have you introduced it?

sirxenon

thk u Dr Chris. can u explain an other example of semi-linear PDE order 1.

ismaiyl

If the PDE has a 3rd term then you have a summation of 3 terms when you plug in x_bar, Y_bar derivatives... what then?
Can you PLEASE make an example video where you use stream equation version of thin shear layer approximation to navier stokes on a flat plate. The internet has almost no help to understand derivation of self similar blassius equations for fluid mechanics

tag_of_frank

Is there a typo at 6:25? It seems like ubar_xbar should be a^gamma u_x x_xbar .

MerrillHutchison

thnks a lot. you've put a lot work into this.

sundarrajn

I do not understand how to derive the form: u(x, t) = t^{\gamma/2\alpha} g(xt^{-\frac12})? at 11:23

ustclee

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