07. Solving the Heat Equation with Dirichlet Boundary Conditions

Поділитися
Вставка
  • Опубліковано 17 гру 2024

КОМЕНТАРІ •

  • @ergar90
    @ergar90 8 місяців тому +2

    Apologies for calling omega lambda - it had been a long day.

  • @aamirshaikh474
    @aamirshaikh474 8 місяців тому

    I have an exam tmrw over PDES + fourier series/transforms and this really saved me. thank you.

  • @NectarNeg
    @NectarNeg Рік тому

    This video is my saviour, thank you so much..

  • @jensenlanglois9138
    @jensenlanglois9138 8 місяців тому

    Where did that pi come into play for the Tn(t) function?

    • @learningswitchfoot
      @learningswitchfoot  8 місяців тому

      There are a few different ways of solving the T(t) equation that gets you the same solution. One way is to start with memorising the equations in the chart at the start of the video and then sub in your value for L. Or you can solve the DE in your head, where the answer is A*exp(-D*omega^2*t) and sub in our value of omega (which I mistakenly call lambda) that we have worked out to be n/2. Either way it works out the same, and there is no pi in the final answer for T(t).

    • @jensenlanglois9138
      @jensenlanglois9138 8 місяців тому

      @@learningswitchfoot ohhh I see. Thanks so much for the explanation, great videos by the way!

  • @chayebayoub9875
    @chayebayoub9875 11 місяців тому

    Thank you very much 🤍

  • @sharon_nna114
    @sharon_nna114 11 місяців тому

    it would be nice if the voice is louder. its extremely difficult to hear even with the maximum volume

    • @learningswitchfoot
      @learningswitchfoot  11 місяців тому +1

      Apologies, these were some of the first videos I made and the sound is not great. Hopefully some of my later videos are better.