Newton's Divided Differences Interpolation Polynomial Example

In this video, we explore the table method of determining the Newton Interpolating Polynomial for a given set of data. Included is the general form of the Newton Interpolating Polynomial, and a step by step example of how to fill the table out. Let us know if you'd like to see more numerical methods examples like this!
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Now try to solve it on your OWN! Don't just "understand"... PRACTICE!!
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[@AFMathandEngineering]

Let us know if this video helped you in your numerical methods course, and if you want to see more on the subject down below!!

[@sachinkmohan]

Can you please do some videos on Bezier Curves, Splines , B-Splines etc.

[@AFMathandEngineering]

Sachin K Mohan thanks for the suggestion, well definitely consider making some videos on these topics!

[@othmanegigo5728]

Thanks for the video it was so helpful

[@AFMathandEngineering]

Great!

[@whatzitooyaa1599]

YES it help a lot, thanks!

[@crimson8076]

a 10 minute video explained it better than a 2 hour lecture! thanks man

[@stanger8992]

Thank you man.. in my university they just throw a definition at you and make you prove it and do other useless stuff with it, they never explain what it accually does... It's so simple when you see an example.

[@AFMathandEngineering]

No problem, we agree, personally I always learned better from following an example vs reading theory.

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Just got out from my last midterm exam which was numerical analysis. Killed it thanks to you man!

[@AFMathandEngineering]

Great job, very glad to hear we could help! Keep it up!

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[@jhhtaylor]

Thank you so much! Lifesaver! So much better than trying to work this out from long formulas in textbooks!

[@DBRZ9]

Thank you so much. You made this really simple and easy to understand. I have an exam and was freaking out over this topic. Life saver!

[@eukon05]

You're the first person that managed to explain this to me, absolute legend!

[@unsignedperson476]

Your explanation style was perfect ! Thanks for the video

[@arushijain2051]

Thanks man. Made it sound simple, which it is now that I've understood from you! The coloured markers were great too.

[@anakinshrimpwalker1317]

Thanks a lot, I doubt I could've gotten this without a good example!!!!

[@laurakeen3935]

Thank you this is a great method and much easier than the method given by my professor!

[@akmsadi3698]

Thank you sir for these types of videos. Today I really understood the Newtonian polynomial.

[@user-xz7ig5oz5t]

Dude u made it so easy, thanks a lot man, because of u I don't have to deal out for maths test Tom

[@aksuyusa]

Thanks for the clear explanation. It was easy to understand.

[@shaheemali469]

Wow..Very nicely explained. I was having a hard time with this interpolation technique. Thanks Alot

[@KinGxWolF]

Thank you so much so clearly taught!

[@twilightnyx6518]

Watching this to prepare myself for my quiz tomorrow, this helped me a lot!

[@twanakawa5551]

Thanks for the wonderful explanation!

[@hasifkriuk2]

i got exam tomorrow and i didnt focus this class for a whole sem then I found you thank you so much need less than 10 minute to understand

[@AFMathandEngineering]

Happy to hear. Good luck!

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thank u so much god protect you ! i love'it , i have an exam today and i had no idea about newton method thank uuuuuuuuu soooooo muuch

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After six year n today i find it very very helpfull.thanks alot professor

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Thank you. This tutorial is good AF.

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Thanks . This video saved my time

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thanks! taking numerical analysis and there's not much content out there but luckily I found this

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Thank you for this amazing explanation❤

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You made it fun and easy, You are amazing!

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That is very clear. Thank you!

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thank you for explaining this so nicely!

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Thank you very much, your explanation is thorough. Keep doing what you're doing.

[@AFMathandEngineering]

Thank you very much, that means a lot to us. We're glad we could help.

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Thanks I needed a solved example for my assignment!

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Thanks! Great Video

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Thanks a lot, 6 years later still helping ppl

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Thank You Sir : May God Bless You !

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thanks for these vids - really useful!

[@Corvanor]

Appreciate the video, helped a ton!

[@95_Ends]

Perfect! Thank you

[@kingshanaman]

Great video. Thanks

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[@AFMathandEngineering]

Thanks bud, in our new outro we ask every video although subs make up an extremely small portion of our viewership (

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Thanks! Super helpful!

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subscribed, thanks to the efforts you gave

[@davidamadeo]

very helpful! thanks a lot!

[@stalinshishkebab]

You are a savior. Thanks a lot.

[@lancelofjohn6995]

It is a smart way to know divided difference of newton form.

[@zahraumj]

man, awesome method&explain

[@MrLazini]

Excellent tutorial !

[@isaaconis6125]

Great work sir

[@juliancamilorodriguezvarga5919]

Thank you so much!!

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Awesome Tutorial dude! You are such an amazing man! Thanks a lot!

[@AFMathandEngineering]

Thanks so much for the great compliment!

[@sachinkmohan]

Thank you so much Sir for your efforts !! It was really helpful to understand.

[@AFMathandEngineering]

Sachin K Mohan excellent, thanks for the nice comment! Glad it helped you.

[@Vulpovile]

Amazing trick, stuff like this makes me love math

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Thank You for uploading this video. It help me a lot. I understand a whole problem how to solve it. one day before my exam i saw this video and it help me to understand this problem. Best explanation,,,,clean video,,,,,,clear voice,,,,,,THANKS BRO

[@AFMathandEngineering]

Thanks alot man, appreciate it, glad we could help!

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Thanks a bunch :)

[@clementdupuis4156]

Perfectly explained !

[@AFMathandEngineering]

Clément Dupuis thanks!

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awesome thank you so much

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thank you so much you really helped me a lot

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You're the best !

[@andrewsmichael7047]

thanks for your help

[@HeinekenLasse]

Thanks for this

[@user-eo6fu4cf5l]

Fred you're awesome! i really want to see a lagrange extrapolation using richarson!

[@AFMathandEngineering]

thanks so much for the positive feedback, welcome to the channel! let me take a look into that, thanks for the suggestion!

[@omaralnajjar9670]

This is great. Thanks man keep it up

[@AFMathandEngineering]

Cheers man, much appreciated.

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thank you so much it saved my life

[@GRACENJOKI-fr5xd]

it was very helpful

[@AEKolatriss21]

Thank you, hope will help tomorrow in the exams!

[@AFMathandEngineering]

Lagamura Chess good luck!

[@kisalwijeyesekera317]

Very well explained.I'm a Geomatics undergraduate from Srilanka and it is very much helpful for our Numerical methods course😊

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thank you so much

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You are Legend!

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this was just perfect! :)

[@umminadiah9191]

THANK YOU SO MUCH! IT HELPS ME A LOT :)

[@AFMathandEngineering]

NADIAH great, we're glad! Thanks for the comment.

[@Vaerg]

I especially liked the neat trick for finding denominators (which can be the most confusing thing in this method).

[@AFMathandEngineering]

Excellent man, really glad to hear the video helped you. We love when the tricks we share come in handy!

[@jz2710]

Thanks!

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Thank you

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thank you !!!!

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[@AFMathandEngineering]

bea galiana great, thanks for the comment! Love to hear that our content is helping others.

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wow! thanks you mehnn

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Thanks for the vid!

[@AFMathandEngineering]

gallogian3 cheers thanks for the comment!

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Thanks a lot mate!

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Love this video!

[@AFMathandEngineering]

Glad you enjoyed it!

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شكرااااا 😍

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Thanks for the nice video.

[@AFMathandEngineering]

Jiachyi Yeoh appreciate the compliment!

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amazing 🤩🤩🤩

[@Victoria-ij3cb]

Do you know how to find the error bound for this approximation? Or do you have a resource that you can point me to that will tell me? I would greatly appreciate it, as I am struggling in this class. Thank you

[@FMeng]

Thanks

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OMG THANK YOU

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Thank you so much :)

[@AFMathandEngineering]

No problem, thanks for the comment!

[@codingnerd609]

TEACHER OF SIMPLICITY

[@Musaddique_MMALI]

The video was excellent. However, I noticed that the general formula had fn-1 instead of fn. Could you please confirm if this is correct or not?

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great !

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Wonderful !!

[@AFMathandEngineering]

Really glad you enjoyed it!

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