Chapter 08.02: Lesson: Euler's Method: Derivation

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  • Опубліковано 12 січ 2025

КОМЕНТАРІ • 47

  • @harisjalal7575
    @harisjalal7575 5 років тому

    Best crystal clear derivation video on youtube

  • @anshumansarthakmeher3811
    @anshumansarthakmeher3811 3 роки тому

    lovely sir .. I loved it❤️,even after 12 yrs ...

  • @shawnana1329
    @shawnana1329 11 років тому +3

    Thank you, thank you, thank you for posting this!! I have a technical writing paper due Friday on this topic and I have been struggling with Euler's Method for weeks now. You made it much simpler :) Thank you for that!

  • @imvolkan
    @imvolkan 14 років тому +1

    excellent explanation, simple and plain. Very informative video! Thank you

  • @yellowspottedtoad
    @yellowspottedtoad 15 років тому +1

    Wow! He is awesome! Very clear when explaining, and his writing is nice :D

  • @numericalmethodsguy
    @numericalmethodsguy  14 років тому

    @o0MetalSnake0o First you need to choose a step size. Let's keep it simple as h=0.2. In this case, the intermediate approximate values are y1=1, y2=1.008 and y3=1.04026 at x=0.2, 0.4 and 0.6, respectively. The last value is the approx value of y(0.6) which is within 3.2% of the exact value of 1.07466. Choose a smaller h for better accuracy.

  • @rakeshswami4893
    @rakeshswami4893 7 років тому

    very good job sir which you are working .
    really you are very good teacher.

  • @dhirenderbisht4956
    @dhirenderbisht4956 7 років тому

    Perfect sir..that's what I was searching for!!

  • @blkscreen15
    @blkscreen15 16 років тому

    thanks for explaining f(x,y) and sometime when you are confused about the smallest thing, its hard to understand other stuff, so this is great and very helpful video.

    • @BEN-hl6yt
      @BEN-hl6yt 4 роки тому

      Hello from 11 years in the future

  • @funkmaster322
    @funkmaster322 8 років тому +1

    Nice. Thank you for deriving it so clearly and simply/

  • @m.faheemshah6647
    @m.faheemshah6647 4 роки тому

    Sir very nice . i love your method sir. Thanks

  • @AliAhmad3810.
    @AliAhmad3810. 4 роки тому +1

    you deserve a like for this

  • @saionjik
    @saionjik 14 років тому

    Thanks, I learned this the second time from you. Rasvan didn't spend too much time on this method in beginning DE. :) Interesting topic. Sadly the semester is almost over and I'm no longer motivated to do work in the class because my grade is too good.

  • @numericalmethodsguy
    @numericalmethodsguy  14 років тому

    @o0MetalSnake0o y sub 1 is y (x1), not y(1). If you are calculating y sub i, the value of y is being calculated at (x sub 0)+i*h.

  • @numericalmethodsguy
    @numericalmethodsguy  12 років тому +1

    If you do not know y(0), you cannot find y(1). But you can find y(1)-y(0) by assuming y(0)=any number.

  • @digitizerSF
    @digitizerSF 11 років тому +1

    guys, this might come in useful when watching this (and any other math tutorial video!!)
    KEYBOARD SHORTCUT:
    To seek back or forward 5 seconds in the video: Use LEFT OR RIGHT ARROW KEYS

  • @josephmunashematumbike541
    @josephmunashematumbike541 6 років тому

    Thank you so much,you are a great lecturer

  • @handle_it798
    @handle_it798 2 роки тому +1

    Perfect! Thanks.

    • @numericalmethodsguy
      @numericalmethodsguy  2 роки тому

      Thank you. Please subscribe and ask your friends to subscribe - our goal is to get 100,000 subscribers by the end of 2022.
      To get even more help, subscribe to the numericalmethodsguy channel ua-cam.com/users/numericalmethodsguy, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources.
      Follow the numerical methods blog at blog.AutarKaw.com. You can also take a free massive open online course (MOOC) on Numerical Methods at canvas.instructure.com/enroll/KYGTJR and on Introduction to Matrix Algebra at canvas.instructure.com/enroll/J4BFME.
      Please share these links with your friends and fellow students through social media and email.
      Support the channel if you able to do so at ua-cam.com/users/numericalmethodsguy/store

  • @RahulNaamMera
    @RahulNaamMera 5 років тому

    Well explained sir🙏

  • @vasanthsaminathan589
    @vasanthsaminathan589 7 років тому

    Great work sir. But you have very limited uploads. could you please post more videos,especially in probability & statistics. Thank you.

  • @harishli2020
    @harishli2020 13 років тому

    very good explanation.....

  • @urbandiscipline88
    @urbandiscipline88 14 років тому

    excellent explaination!

  • @jdfab_ulous
    @jdfab_ulous 11 років тому

    How would you calculate the error bound in Euler's method?

  • @salmantanvir2131
    @salmantanvir2131 4 роки тому +1

    love u chachu jee

  • @BluCosmos
    @BluCosmos 15 років тому

    yes great explanation

  • @hnrqfernandes
    @hnrqfernandes 12 років тому

    Hi. Do u have something about implicit Euler's method? This guy taugh the explicit method thats unstable and i cant find the implic method anywhere. Could u help me?

  • @jdfab_ulous
    @jdfab_ulous 11 років тому

    Thanks, but the y''(t) is it with respect to t or y? I'm having trouble finding M.

  • @Ren520
    @Ren520 16 років тому

    thankyou!!! that makes things alot clearer!! =]

  • @MoonLight11023
    @MoonLight11023 10 років тому

    Thank you very much man.

  • @ayobamiadeleke5428
    @ayobamiadeleke5428 9 років тому

    please how can i do this derivation with Maple?

  • @ngulamconhe
    @ngulamconhe 12 років тому

    I have question: let x1 = 1, x0=0, find y1 but don't know y(0)?

  • @Fox19999999
    @Fox19999999 9 років тому

    thank you prof

  • @kidslearninggaminghub7241
    @kidslearninggaminghub7241 5 років тому

    plz can you give me derivation of euler modified method

  • @nourelhoudabenyahia257
    @nourelhoudabenyahia257 4 роки тому +1

    Is this for first year ?

    • @numericalmethodsguy
      @numericalmethodsguy  4 роки тому +1

      This is a junior-level course.

    • @nourelhoudabenyahia257
      @nourelhoudabenyahia257 4 роки тому +1

      Aaa okay thanks can u tell please in first year what are the main lessons of maths ?

    • @numericalmethodsguy
      @numericalmethodsguy  4 роки тому +1

      @@nourelhoudabenyahia257 College Algebra, Differential Calculus, Integral Calculus, Multivariable Calculus, Vector Calculus, Ordinary Differential Equations

  • @persianqu33n
    @persianqu33n 16 років тому

    that was cool!thanks

  • @numericalmethodsguy
    @numericalmethodsguy  11 років тому

    You would use Taylor series! isites.harvard.edu/fs/docs/icb.topic250025.files/NumericalTheor.pdf

  • @quicksilver455
    @quicksilver455 12 років тому

    beautiful!

  • @mullerreddy8033
    @mullerreddy8033 7 років тому +1

    perfecto...

    • @numericalmethodsguy
      @numericalmethodsguy  7 років тому

      Thank you.
      To get even more help, subscribe to the numericalmethodsguy channel, and go to MathForCollege.com/nm and MathForCollege.com/ma for more resources and share the link with your friends through social media and email.
      Support the site by buying the textbooks at www.lulu.com/shop/search.ep?keyWords=autar+kaw&type=
      Follow my numerical methods blog at AutarKaw.org. You can also take a free online course at www.canvas.net/?query=numerical%20methods

  • @LShy3142
    @LShy3142 12 років тому

    This guy is so brilliant, I just want to crawl into a cave and die.