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

  • @ahmetozbekler
    @ahmetozbekler3 жыл бұрын

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

  • @RameshThakur-us7ic
    @RameshThakur-us7ic3 жыл бұрын

    thank you sir, very clearly you have explained

  • @poojashivraj3196
    @poojashivraj31962 жыл бұрын

    Sir thank you very much

  • @chetan9gaonkar

    @chetan9gaonkar

    2 жыл бұрын

    Thanks

  • @rutvikbade
    @rutvikbade4 жыл бұрын

    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

    @nikjay_music

    3 жыл бұрын

    same doubt

  • @exoplanetanime4453

    @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

    @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).

  • @advancedappliedandpuremath
    @advancedappliedandpuremath2 ай бұрын

    Reference book please

  • @jayjayf9699
    @jayjayf96993 жыл бұрын

    I don’t understand why you integrate the residual function

  • @reyasali9788

    @reyasali9788

    2 жыл бұрын

    Sum of errors should be zero

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