Integration by parts -Review

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  • เผยแพร่เมื่อ 13 ธ.ค. 2024

ความคิดเห็น • 11

  • @TheAlbaTr0ss
    @TheAlbaTr0ss ปีที่แล้ว

    thank you sir
    great explanation! IIT Kanpur FTW.....

  • @rajkothari4232
    @rajkothari4232 5 ปีที่แล้ว +3

    I didnt get the Residue Equation sir.

  • @AJ-et3vf
    @AJ-et3vf 2 ปีที่แล้ว

    great video! Thank you!

  • @Hobbit183
    @Hobbit183 5 ปีที่แล้ว

    Very clear explanation, thank you

  • @muralianudhar7536
    @muralianudhar7536 4 ปีที่แล้ว +5

    But in last term (v.d3w/dx3) over a to b is in 3rd order

    • @Kryptic1234
      @Kryptic1234 4 ปีที่แล้ว +3

      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).

    • @FallenDriver
      @FallenDriver 3 ปีที่แล้ว +1

      @@Kryptic1234 but the differentiability requirement of both functions is not the same so how can we get symmetric matrix

    • @vanshvyas4149
      @vanshvyas4149 6 หลายเดือนก่อน

      Its value will depend only on boundary as there are limits on it which i think we would be given as BVP

    • @AbhishekKumar-dh5vg
      @AbhishekKumar-dh5vg 3 หลายเดือนก่อน

      The third derivative will be the shear force, which would be given as a BC

  • @TXxJiggle
    @TXxJiggle ปีที่แล้ว +3

    Almost all lectures are mathematically incorrect and inaccurate but insightful nevertheless.

    • @sairaj7914
      @sairaj7914 ปีที่แล้ว +1

      haha not almost all but i get what you mean.