14. Weighted Residual Method : Least Square, Point Collocation, Sub Domain and Galerkin's Method

[@ahmetozbekler]

Thanks for all. You tell this perfectly. Everything is so clear.
👍👏👏👏👌

[@RameshThakur-us7ic]

thank you sir, very clearly you have explained

[@poojashivraj3196]

Sir thank you very much

[@chetan9gaonkar]

Thanks

[@rutvikbade]

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]

same doubt

[@exoplanetanime4453]

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]

@@nikjay_music The residue we are minimising is that of the governing equation itself, not necessarily the residue in the field variable u(x).

[@advancedappliedandpuremath]

Reference book please

[@jayjayf9699]

I don’t understand why you integrate the residual function

[@reyasali9788]

Sum of errors should be zero