Newton's Divided Differences Interpolation Polynomial Example

[@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.

[@yunuskalkan4959]

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!

[@ertus306]

selam hocam hangi üniversite acaba?

[@eukon05]

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

[@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!

[@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!

[@jhhtaylor]

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

[@sunnydrall]

Ask people to subscribe your channel before they leave, you have really good content and you should be appreciated!

[@AFMathandEngineering]

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

[@chaitanygosawi8593]

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!

[@aishaelkeurti8082]

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

[@kisalwijeyesekera317]

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

[@twilightnyx6518]

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

[@cocaco6939]

Thanks a lot, 6 years later still helping ppl

[@Minions-o4p]

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

[@unsignedperson476]

Your explanation style was perfect ! Thanks for the video

[@emilymoigenyanchera1908]

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

[@krizh289]

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

[@arushijain2051]

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

[@akmsadi3698]

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

[@imanfit]

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.

[@saadsemaoune]

That was the best explanation i wish you were my teacher

[@anakinshrimpwalker1317]

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

[@imane.mellouk]

how can we calculate the error after having the final expression of the function ?

[@theFatMan5050]

A bit too late, Im sure you gonna need the expression ofthe function f to calculate the error.

[@jack_of_all_trades_Tarik]

Thanks . This video saved my time

[@laurakeen3935]

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

[@shaheemali469]

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

[@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!

[@bahadrantl925]

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[@lancelofjohn6995]

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

[@jumanahalwafi5904]

You made it fun and easy, You are amazing!

[@mohamedachrvf]

Thanks a Bunch dude, My professor explained it in a terrible way, and you saved me

[@aksuyusa]

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

[@FarhanAhmed-l1h]

Thanks I needed a solved example for my assignment!

[@AEKolatriss21]

Thank you, hope will help tomorrow in the exams!

[@AFMathandEngineering]

Lagamura Chess good luck!

[@twanakawa5551]

Thanks for the wonderful explanation!

[@stormwaker]

Thank you. This tutorial is good AF.

[@ΕλισάβετΕλβάνογλου]

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!

[@respect-dev-w7n]

TEACHER OF SIMPLICITY

[@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.

[@KinGxWolF]

Thank you so much so clearly taught!

[@Vulpovile]

Amazing trick, stuff like this makes me love math

[@robertoprofeta9231]

Thanks! Great Video

[@beagaliana9389]

great video! helped me a lot

[@AFMathandEngineering]

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

[@amiraemamafify7421]

Thank you for this amazing explanation❤

[@clementdupuis4156]

Perfectly explained !

[@AFMathandEngineering]

Clément Dupuis thanks!

[@naturumauthentica]

Thank You Sir : May God Bless You !

[@rummington1]

thank you for explaining this so nicely!

[@Corvanor]

Appreciate the video, helped a ton!

[@KansasFashion]

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

[@AFMathandEngineering]

Thanks so much for the great compliment!

[@isaaconis6125]

Great work sir

[@EphixaJulian]

subscribed, thanks to the efforts you gave

[@zahraumj]

man, awesome method&explain

[@minaadly342]

very helpful you made everything easier
thanks alot

[@AFMathandEngineering]

+Mina Adly thank you, that's a very nice complement! Are you an engineering student?

[@minaadly342]

yes

[@AFMathandEngineering]

+Mina Adly great! Please let us know I'd you have any more questions regarding your classes!

[@yjiachyi]

Thanks for the nice video.

[@AFMathandEngineering]

Jiachyi Yeoh appreciate the compliment!

[@MrLazini]

Excellent tutorial !

[@xboxoftroy3]

Thanks! Super helpful!

[@omaralnajjar9670]

This is great. Thanks man keep it up

[@AFMathandEngineering]

Cheers man, much appreciated.

[@pc19937]

That is very clear. Thank you!

[@ShivamThakur-rt6js]

Good video👌

[@AFMathandEngineering]

Thanks man, much appreciated. Thanks for stopping by and commenting.

[@benhull4155]

thanks for these vids - really useful!

[@davidamadeo]

very helpful! thanks a lot!

[@AzeeminUK]

can you send the the link of numerical analysis`s playlist

[@kingshanaman]

Great video. Thanks

[@kefal0]

great explanation!!

[@andrewsmichael7047]

thanks for your help

[@johnsonjuvenary]

thanks brother
well explained

[@AFMathandEngineering]

Thanks bud!

[@95_Ends]

Perfect!
Thank you

[@SydneyMakar]

Thank you!! Super helpful

[@sylvainZa]

can you please do central and hermite divided difference

[@AFMathandEngineering]

+Sylva1n we will add it to the list of topics we want to cover. Thanks for the suggestion!

[@maczi4006]

Thx, you saved my university exam

[@AFMathandEngineering]

Great glad to hear!

[@jimviau327]

Great explanation. Thanks. Does that technique report an exact value or is it just an approximation?

[@AFMathandEngineering]

Thanks alot. The accuracy of this method depends on the number of points we have.

[@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

[@umminadiah9191]

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

[@AFMathandEngineering]

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

[@pychoncy]

Is it mandatory to order the values of x (first column) from lower to higher?

[@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?

[@yassinehoumani4761]

thank you so much you really helped me a lot

[@ycagatayduygu]

Thanks a lot mate!

[@AFMathandEngineering]

Yasin Çağatay Duygu thanks bro much appreciated!

[@denizaltinokmobile]

thank you so much it saved my life

[@comprendrelatopographie]

Thank you verry much for thus video

[@saifshah731]

good explanation but my question is do we need to have x values at equal distance here?

[@AFMathandEngineering]

Thanks, and nope they don't have to be at equal distance

[@mimisworld6678]

شكرااااا 😍

[@mrtpeiris]

Thank you for your video

[@Dark99942]

Why dont more professors teach it this way instead of making it look super complicated?????

[@dellpi3911]

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[@HeinekenLasse]

Thanks for this

[@juliancamilorodriguezvarga5919]

Thank you so much!!

[@aymentedjeddinechadlia5695]

awesome thank you so much

[@GRACENJOKI-fr5xd]

it was very helpful

[@samueltimothy1451]

Pls can u tell me d name of the textbook u use

[@andresdrum1]

Love this video!

[@AFMathandEngineering]

Glad you enjoyed it!

[@brandonfreese3005]

I know this question might be stupid for some, but is this method the same for Newton's Backward divided difference

[@MegaManadam]

Thank you so much :)

[@AFMathandEngineering]

No problem, thanks for the comment!

[@numansinan]

thank its have been so helpful

[@AFMathandEngineering]

Great glad it helped!

[@egechang]

How do we solve it if we have 3 x and 3 f(x) values ?

[@AFMathandEngineering]

Same way except you'll have a function of degree 2 instead of 3 like this problem

[@egechang]

@@AFMathandEngineering Thank you. My prof was solving them in different way but yes this one works for all too.

[@MohammadAli-ip7df]

this was just perfect! :)

[@naveedladha4211]

Sir ...is this different from the forward and backward interpolation?

[@franco421]

Thanks for the vid!

[@AFMathandEngineering]

gallogian3 cheers thanks for the comment!

[@adilimssusa5637]

hahahaaa i have exam in 5hrs and i just got it ...thank uuuu

[@kareemessam3741]

amazing 🤩🤩🤩

[@alihammouche1657]

Can you please do some videos on Control volume FINIT ELEMENT METHODE

[@AFMathandEngineering]

That isn't something we personally use, thanks for the suggestion though