14. Weighted Residual Method : Least Square, Point Collocation, Sub Domain and Galerkin's Method
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Weighted residual method is an classical approximate method which is used to determine the approximate solution to differential equations. In this video I have discussed this method by explaining Least Square, Point Collocation, Sub Domain and Galerkin's Method with an example. The results are compared with exact solution by plotting a graph
Пікірлер: 12
Thanks for all. You tell this perfectly. Everything is so clear. 👍👏👏👏👌
thank you sir, very clearly you have explained
Sir thank you very much
@chetan9gaonkar
2 жыл бұрын
Thanks
Hey! Thanks for the video and the plots. Can someone please explain why the value of y at x=0.5 is not same for exact and point collocation even if we force the residue to zero at x=0.5??
@nikjay_music
3 жыл бұрын
same doubt
@exoplanetanime4453
Жыл бұрын
Keep in mind that y is the trial function so even if we force R to be 0 in x=a for example there is a low probability for y(a) = exact(a)
@angelmusonda7951
10 ай бұрын
@@nikjay_music The residue we are minimising is that of the governing equation itself, not necessarily the residue in the field variable u(x).
Reference book please
I don’t understand why you integrate the residual function
@reyasali9788
2 жыл бұрын
Sum of errors should be zero