Yes I noticed the same thing. I guess you can only reduce the differentiability of the residual by one. But there is still a benefit in balancing the differentiability of the residual and the weighting function IN THE INTEGRAL, because this is what leads to a symmetric matrix (more on this in later lectures).
thank you sir
great explanation! IIT Kanpur FTW.....
great video! Thank you!
I didnt get the Residue Equation sir.
Very clear explanation, thank you
But in last term (v.d3w/dx3) over a to b is in 3rd order
Yes I noticed the same thing. I guess you can only reduce the differentiability of the residual by one. But there is still a benefit in balancing the differentiability of the residual and the weighting function IN THE INTEGRAL, because this is what leads to a symmetric matrix (more on this in later lectures).
@@Kryptic1234 but the differentiability requirement of both functions is not the same so how can we get symmetric matrix
Its value will depend only on boundary as there are limits on it which i think we would be given as BVP
The third derivative will be the shear force, which would be given as a BC
Almost all lectures are mathematically incorrect and inaccurate but insightful nevertheless.
haha not almost all but i get what you mean.