Similarity solution method: PDE

[@sayantansarkar2655]

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

[@wakil08]

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

[@BeautifulWorld2001]

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

[@joonasmakinen4807]

Brilliant and clear! You earned new subscriber!

[@mohammadsarrafjoshaghani7366]

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

[@mayachen8940]

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

[@samirelhajjj305]

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

[@khushboopatel1765]

good explanation, Thank you sir

[@sergiomanzetti1021]

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?

[@eliopereira7112]

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

[@kimsoobin990]

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.

[@wisamm.kareem4924]

I think you can make PrtScn

[@muthiganganga3676]

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

[@maxdoring8093]

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)?

[@ismaiyl07]

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

[@sundarrajn1003]

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

[@sirxenon6855]

What is g though and why have you introduced it?

[@iamkaushiki9320]

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.

[@khushboopatel1765]

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

[@tag_of_frank]

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

[@MerrillHutchison]

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

[@tuckerhartland1001]

+Merrill Hutchison Yes, you are correct that is a typo.

[@DrChrisTisdell]

+Tucker Hartland and +Merrill Hutchison - thanks for letting me know.

[@jeandama2007]

at 22:15, also another typo... probably need to keep the integrand as e^(-s^2/4k) in the expression of u(x,t)

[@TheRanija]

Sir, if you could take down that snippet of you in your video.

[@ustclee]

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

[@bradleyfrance6668]

I never knew that Australians knew math

[@engrasifali]

Please send me the similarities of parameter method to solve seconder differential homogenous equations please please

[@engrasifali]

I wait for your response please response me as soon as possible