Heat Equation on a Semi-Infinite Line - Partial Differential Equations | Lecture 37

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  • เผยแพร่เมื่อ 21 ธ.ค. 2024

ความคิดเห็น • 5

  • @larrydurante9849
    @larrydurante9849 4 วันที่ผ่านมา

    Dear Jason at 11:30 you get the k2/pie w * g(t)... I get 2/pie * d/dx u(o,t). Can you please help me understand how you got your result ? thank you in advance

    • @SuperSilver316
      @SuperSilver316 วันที่ผ่านมา

      You have to integrate by parts to get to this result. It’s how you normally take the Fourier transform of derivatives, but if you integrate by parts twice you will arrive at his result.

  • @SuperSilver316
    @SuperSilver316 2 วันที่ผ่านมา

    In the case of the forcing term what does the solution look like after inverse transforms and convolutions are taken?

    • @jasonbramburger
      @jasonbramburger  2 วันที่ผ่านมา

      I wouldn't be a very good teacher if I just told you the answer. You should have all the tools in place to answer this question yourself.

    • @SuperSilver316
      @SuperSilver316 วันที่ผ่านมา

      I have been working on the problem for 3-4 days before I saw this video. I’m only asking because my final answer doesn’t satisfy one of the boundary conditions and I can’t seem to figure out why.