Lecture - 27 Solving the Wave Equation

Lecture Series on Physics - I: Oscillations and Waves by Prof.S.Bharadwaj,Department of Physics and Meteorology, IIT Kharagpur. For more details on NPTEL visit http://nptel.iitm.ac.in.

Category:

Education

Tags:

• Solving
• the
• Wave
• Equation

[DarthVader4553]

maaan...how dry

[deyomash]

@JPFlaneur theoretical physics ftw :)

[JPFlaneur]

Very good and all but this is not Physics I

[universalsailor]

Nicely pitched and explained. Good to find. 

[yodaboy267]

cheap

[gchapman1211]

HORRIBLE TONE AT THE BEGINING - ESPECIALLY IF YOUR WEARING HEADPHONES!!!!!!!!!! Can you edit it out?

[LeconsdAnalyse]

@ocularix...The inverse mapping theorem allows ANY change of coordinates, as long as the Jacobian of the transformation is not zero in the neighborhood of a required point. The change of coordinates being made is into so-called `canonical` coordinates. These new coordinates are special in that they reduce the pde to a simpler form.

[LeconsdAnalyse]

Strictly speaking, he did not show that the Jacobian of the transformation (x,t)->(w1,w2) is different than zero in the neighborhood of a point of interest.

[ocularix]

Beginning around 15:30 the good professor uses the second partial derivatives of x and t as equivalent to the quantities squared, without any explanation of why this would be valid? To me this casts a long shadow of doubt on this solution method!

[00calvera]

thanks