Interesting isn't it. There is also a method of P.D.E's involving fourier transforms via the fourier integral, which is pretty much a blend of what you stated. It's combination of transforms and fourier series representations.
If the circle is inscribed inside an equilateral triangle and the moving point p making as sum of squares from the corner points it will be a constant as 4/5 s ^2 where s is the side of equilateral truangke forming the sum of squares of distance from corner of equilateral triangle that may give a clue on temperature distribution when the triangular points as decided by 0.0.1 1,0,0 1,0,0 by a constant k value.
7:20 can somebody explain me how he got that by expanding the series ? EDIT: for anyone interested I found this video where the passage is explained th-cam.com/video/s9UNnxq3Ar8/w-d-xo.html
Could any one please give me a hint how to solve a nonlinear coupled pdes like {F(x, y) + UxVy - UyVx=0; G[x, y]Ux+H(x, y)Vx=0}, in which F G H are polynomials of x, y and U V are unknow functions of x,y ? Any clues about methods or tools ,mumerical or precise shall be helpful .
this guy just simplified entire engineering math into one lecturer...legend
The amount of knowledge in this 14 min video is extraordinary. This man is a legend!
This guy makes me wanna apply to MIT 🙌🏽🎊🔥
9:10 "You don't often for partial differential equations get some nice expression for the solution"
I laughed so hard
for laplace equation we use fourier, and for other differential equations we use laplace transform, lol
Interesting isn't it. There is also a method of P.D.E's involving fourier transforms via the fourier integral, which is pretty much a blend of what you stated. It's combination of transforms and fourier series representations.
An exceptionally good explanation and example for Laplace's Equation.
If the circle is inscribed inside an equilateral triangle and the moving point p making as sum of squares from the corner points it will be a constant as 4/5 s ^2 where s is the side of equilateral truangke forming the sum of squares of distance from corner of equilateral triangle that may give a clue on temperature distribution when the triangular points as decided by 0.0.1 1,0,0 1,0,0 by a constant k value.
Fall in Love with voice
Bookmarked. I love this sort of stuff.
7:20 can somebody explain me how he got that by expanding the series ?
EDIT: for anyone interested I found this video where the passage is explained th-cam.com/video/s9UNnxq3Ar8/w-d-xo.html
Take a look for Lecture 7.4 also th-cam.com/video/-D4GDdxJrpg/w-d-xo.html
Could any one please give me a hint how to solve a nonlinear coupled pdes like {F(x, y) + UxVy - UyVx=0; G[x, y]Ux+H(x, y)Vx=0}, in which F G H are polynomials of x, y and U V are unknow functions of x,y ? Any clues about methods or tools ,mumerical or precise shall be helpful .
This is helpful ❤️🤍
prof strang ^^ worship your lecture
Thanks ❤️🤍
thanks a lot for such a great
Nice
I guess there is a plus after the 1 over 2 pi. I know everyone knows it, and G Strang does it because he knows everyone knows it.
but then how will the value be 1/2pi at zero?
@@kajarihaldar6061 Good point.