Learn via example the secant method of solving a nonlinear equation. For more videos and resources on this topic, please visit nm.mathforcolle...
Пікірлер: 113
@siddhantraj53236 жыл бұрын
U can't take 4 and 5.5 because I believe for a root to exist, there must be 1 f(-) and f(+) value but f(4.5) and f(5.5) both are positive
@numericalmethodsguy6 жыл бұрын
You are confusing secant method and false position method. The false position method (mathforcollege.com/nm/topics/false_position.html , a bracketing method, uses secant lines to estimate the root of an equation. The secant method (nm.mathforcollege.com/topics/secant_method.html , an open method (estimates do not need to bracket the root), uses secant lines to estimate the root of an equation.
@RobertoEmilioRomero6 жыл бұрын
Siddi RJ he just did and it worked. Do u have a counterexample?
@RobertoEmilioRomero6 жыл бұрын
Siddi RJ ur talking about bisection method.
@vijayshankar95295 жыл бұрын
both the links are dead...@@numericalmethodsguy
@numericalmethodsguy5 жыл бұрын
@@vijayshankar9529 Please send me the links through this comments section.
@silverplasticware11 жыл бұрын
Wow, this was incredibly clear and concise. My professor does not bother giving any examples, so this was very helpful. Thank you very much!
@numericalmethodsguy11 жыл бұрын
The secant method is derivable from Newton Raphson method by approximating f '(x(i)) by a backward divided difference approximation. That approximation is the slope of the secant line between points [x(i),f(x(i))] and [x(i-1),f(x(i-1))]. If you doubt that it is secant method, what is it then!
@himildesai989815 жыл бұрын
thanks dude...you saved my life...awesome video...I now understand Secant method so perfectly.
@SameeKhanSamee9 жыл бұрын
Alhamdulillah, i understood clearly. May Allah bless you
@bharadwajpawar93746 жыл бұрын
inshallah
@bharadwajpawar93746 жыл бұрын
khuda fiz
@biggbuggy10 жыл бұрын
Mr numericalmethodsguy you are awesome!! Go go professor!!
@sunz.60726 жыл бұрын
Thankyou so much for explaining everything so clearly and so thoroughly without skipping any steps. You videos are so beneficial for me and I recommend them to all my friends. You sir, are an amazing teacher.
@numericalmethodsguy6 жыл бұрын
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
@JeetKuneDofive11 жыл бұрын
You are amazing you are helping me pass my class.
@numericalmethodsguy12 жыл бұрын
No, it is not the same. The secant method and regula falsi use the same formula for finding the next estimate of the root, but here is the scoop. The secant method is an open method and hence does not require the two previous estimates to bracket the root; the regula falsi method is a bracketing method and the two previous estimates have to bracket the root in every iteration.
@numericalmethodsguy11 жыл бұрын
It is the same as (a-b) divided by (c-d) is same as (b-a) divided by (d-c)
@Benerbz811 жыл бұрын
Your formula has a mistake in it! My textbook reads: x(i+1) = xi - f(xi)(xi-1 - xi) divided by f(xi-1) - f(xi)
@RobertoEmilioRomero6 жыл бұрын
Benerbz8 theres is no mistake. Rearranging the (xi-xi-1) into (xi-1-xi) in the numerator introduces a negative sign. Rearranging f(xi)-f(xi-1) in the denominator into f(xi-1)-f(xi) introduces another negative sign. Both negative signs in numerator and denominator both divide out to + since -÷-=+ . He just has the equation arranged algebraically different but mathematically and graphically identically equal. Simple algebra. Remember (xi-xi-1) = -(xi-1-xi) and f(xi)-f(xi-1) = - [f(xi-1)-f(xi)] . The negative signs introduced in both rearrangements dividie and cancel out to +1. I hope you saw it man. Best. Simple algebra.
@RobertoEmilioRomero6 жыл бұрын
There is no mistake in his formula. Im guessing you guys who agree he has a mistake in his formula are not very good in catching algebra mistakes or are intermediate level. Any advanced level student would see his equation is the same as the otherguys multiplied by 1.
@RobertoEmilioRomero6 жыл бұрын
Ur comment was 5 years ago. I hope if u see it now you realized your equation and his are one and the same.
@erkansenol989110 жыл бұрын
Thanks from TURKEY
@KpopOrigami13 жыл бұрын
Yay! now i can do my presentation on the Secant method!! thank you so much!
@numericalmethodsguy15 жыл бұрын
I do not have access to the studio this semester.
@unknownkingdom14 жыл бұрын
These are very useful videos. Thank you for posting.
@elsbbbb14 жыл бұрын
you explained everything very clearly , Thank you very much.
@fizXgirl31414 жыл бұрын
OH YEAH!! this helped me to find the next guess for use in the shooting method... LOVED IT!
@walkingon200113 жыл бұрын
thank for the video, it is very useful and easy to understand.
@yzchenwei10 жыл бұрын
you suppose to check conditions and swap indexes if necessary.
@adrees4u4 ай бұрын
is it necessary that x0 be smaller than x1 or is it just a coincidence here? Furthermore how to decide which of the two initial x guess values to be assigned as x0 and x1?
@numericalmethodsguy4 ай бұрын
Not at all. 0 and 1 are subscripts, not a restriction on values of x0 and x1.
@adrees4u4 ай бұрын
@@numericalmethodsguy Got it. Thank you sir.
@igonesyt11 жыл бұрын
Thanks from Brazil! You are awesome.
@noora20538 жыл бұрын
You are the best !!God bless you ()
@Sitonyto11 жыл бұрын
I think your value for X2 is wrong, should have been 3.3553. Well, that's what i got.
@Letmegoagainplease10 жыл бұрын
Good work sir and thank you, think you can do one for the succesive approximations method?
@gog_magpie5 жыл бұрын
This is very helpful, thanks a lot :)
@brucemendaros80795 жыл бұрын
What is the name of the last process you did where you multiplied it with 100 to get the percentage? Thanks sir have a good day!
@numericalmethodsguy5 жыл бұрын
It is the concept of absolute relative approximate error. See more here. nm.mathforcollege.com/topics/measuring_errors.html
@brucemendaros80795 жыл бұрын
Thank you sir, by the way, how did you get the initial values of x0 =4.0 and x1=5.5?
@profautarkaw5 жыл бұрын
@@brucemendaros8079 Those are just guesses which I chose. Generally one uses physics of the problem to get initial guesses but this one is a generic problem.
@lapitburaytitibuday15 жыл бұрын
dude! do yo have an example on fixed point iteration method? I'm looking around the internet and nothing gives me the exact meaning of it...
@AKMautla3 жыл бұрын
beautifully explained. thank you!!
@sunilp6313 жыл бұрын
@numericalmethodsguy what abt now??? fixed point...actually my professor dont know how to teach...after I saw ur lectures I became crystal clear...but I still have not understood fixed point and method of false positions..please post some videos..Thanks
@CarlosDominguez-yr1ic9 жыл бұрын
Hi Sir. I Calculated X2 at the minute 4:52 of this video and I found that the value of X2 is 3.3553 which is different from the value of X2 shown in this video that is X2 = 3.353 Verification X2=X1-( f(x1)(X1-X0) ) / ( f(x1)-f(x0) ) X2=5.5-( (5.5^3-20)(5.5-4) ) / ( (5.5^3-20)-(4^3-20) ) X2=5.5-( (166.375-20)(5.5-4) ) / ( (166.375-20)-(64-20) ) X2=5.5-((146.375)(1.5))/(166.375-20-64+20) X2=5.5-219.5625/102.375 X2=5.5-2.144689 X2=3.355311 I did 7 iterations using Excel and I got the following results: Error (%) Xo= 4 X1= 5.5 X2= 3.355311355 63.91921397 (first iteration) X3= 3.05888392 9.690705592 (second iteration) X4= 2.779682997 10.04434404 X5= 2.721932852 2.121659417 X6= 2.71459513 0.270306338 X7= 2.714418107 0.006521558 X8= 2.714417617 1.80705E-05 Best regards from Venezuela. My name is Carlos Dominguez. I am a graduate student of specialization in Electric Power Systems at Universidad Central de Venezuela in Caracas.
@hunterstubbs6246 жыл бұрын
Why is the error on your second iteration larger than the first?
@whynot1313 жыл бұрын
I love you ! Cheers from UC San Diego
@LShy314212 жыл бұрын
So how'd you get so smart Buddy? Thx for the uploads. Much appreciated. :)
@AnShiKa_sa4 жыл бұрын
I am not able to find any video on fixed point method ...
@numericalmethodsguy4 жыл бұрын
Do not have one!
@deepeshkushwaha46856 жыл бұрын
how to calculate an approximate value for (4)(3/4){4 power 3 divided 4} using one step of secant method with x0=3 and x1=2
@deathraiser28209 жыл бұрын
how do you choose the inital guesses if they are not given in the question?
@numericalmethodsguy9 жыл бұрын
You can use the physics of the problem. Assume you are trying to find the level to which a 3cm radius floating ball is submerged. You could use initial values somewhere between 0 and 6 cm. See example at mathforcollege.com/nm/mws/gen/03nle/mws_gen_nle_txt_secant.pdf
@RobertoEmilioRomero6 жыл бұрын
Death Raiser best thing to do solving equations like these is to familiarize yourself withe the domain and co-domain AKA range of the function and graph it. Analyze the function. You can also graph them separate in the same viewing rectangles along with different transpositions of the function. At this point you must be familiar how to sketch functions if not graph them using a Computer Algebra System or CAS. There you can visually choose an interval of your choice to begin.
@BilalChaudhary14 жыл бұрын
i can not find any video of "regula falsi method" i need that :(
@RobertoEmilioRomero6 жыл бұрын
Bilal Chaudhary if you cannot find a specific video. Look for a PDF document of a text related to the topic.
@lapitburaytitibuday15 жыл бұрын
Fixed point method pls..........
@zezochi11 жыл бұрын
thank you very much teacher
@mreriiie9 жыл бұрын
i have y=e^y + ln(y). Answer needs to have 3 correct decimals and i have to use the secant method, how do i proceed?
@numericalmethodsguy9 жыл бұрын
+Mr. eriiie Rewrite as f(y)=y-e^y-ln(y)=0. Choose initial guesses and continue iterating till you find 3 decimal places coming out to be same. At any point the guesses cannot be negative as ln(-ve numbers) do not exist within real numbers.
@CarlosDominguez-yr1ic7 жыл бұрын
Answer to Mr e. The results of using the secant method with initial guesses y0=0.5 y1=1 with an percent relative error less than 0.0001% is the following for the equation Y-Exp(Y)-ln(Y)=0 using Excel spreadsheet: n Yn Error % 0 0.5 │( x(i+1)-x(i))/x(i+1)│*100 1 1 2 0.319604301 212.8869032 (first iteration) 3 0.351205372 8.997889387 (second iteration) 4 0.3443491 1.9910818 5 0.344159898 0.054975036 6 0.344161287 0.0004037 7 0.344161287 8.03445E-08 Best regards from Caracas, Venezuela.
@RobertoEmilioRomero6 жыл бұрын
I recommend change x for yor anyother variable of your convenience. The majority of students get intimidated with an equation like yours with Y in it. I will consider doing that first.
@RobertoEmilioRomero6 жыл бұрын
I also strongly recommed you try first. Unless you cant do it and admit you dont know how to proceed. Ask someone how to proceed. Never take for granted that you can always ask someone on the internet to do it for you although they mostlikely will do because is fun for them and they know and love to solve problems. You need to be disciplined very well to be a great mathematician. Be realistic and first ask yourself "Am I capable of doing this?" If so never doubt yourself because if others can you can too. One day youll look back at a problem and tell yourself "I cant believe I didn't know how to solve such a relatively easy problem." And qhen I say relatively I mean relative to your age and educational level. Best,
@khairulanuar28018 жыл бұрын
Nice video..helped me so much..god bless u
@RobertoEmilioRomero6 жыл бұрын
Khairul Anuar, God with a capital G. Hmmm!
@Taiseerghulam201110 жыл бұрын
Please sir i need ur help …i am an instructor in LIU... how u re arrange the the formula to get it from the similarity of two triangles ?
An LIU instructor asking such question? Thats weird.
@ashiskumarpanigrahi4 жыл бұрын
Plz solve the problem Use secant method to find out the root of the equation x3-4x-9 upto 3decimal digits
@etornamtsyawo64075 жыл бұрын
how are the initial guesses chosen?
@numericalmethodsguy5 жыл бұрын
These are chosen randomly. If you know the physics of the problem, then that can help. See physical problems here. nm.mathforcollege.com/topics/secant_method.html
@SANJANASINGH-gp3wh7 жыл бұрын
you are so good !!!!
@EmeritusG12 жыл бұрын
does this come with free ring dings?
@mczairutz0111 жыл бұрын
Thank you Sir. Mabuhay Philippines :)
@Darzs_chidane11 жыл бұрын
oh i didn't know that, thanks for clearing that up
@honest_review24926 жыл бұрын
thank u so much it really help me alot
@ozgurerbulan209710 жыл бұрын
İngilizcene kurban sağol reyis büyüksün
@Gl0bby11 жыл бұрын
This is Newtown methode with approximated derivate (instead of accurate one). Really doubt its Secant methode
@rishav270814 жыл бұрын
thank you so much Sir!!
@dhananjayalakshan93893 жыл бұрын
Thanks a lot sir...
@benb.11147 жыл бұрын
Thank you very much good sir! :)
@saqlainramzan66406 жыл бұрын
why 4 cube ?
@skunkid211 жыл бұрын
Thank you!
@jorge1905013 жыл бұрын
very good, thanks!!!
@ramana1-9-7-44 жыл бұрын
Sir p/z explain falsi position method
@numericalmethodsguy4 жыл бұрын
From my good colleague: nm.mathforcollege.com/chapter-03-06-false-position-method/
@Gl0bby11 жыл бұрын
ohhh, so its basically combination of Euler and Newton Raphson.. that makes sense.. they didnt really need to have a special name for it though
@ahmadwaheed26318 жыл бұрын
Nice sir
@n.a.42937 жыл бұрын
thank you
@hey_its_zae7 жыл бұрын
Thank you, sir :)
@umutert14 жыл бұрын
cool stuff!
@Sn1perBH14 жыл бұрын
thx
@badz93087 жыл бұрын
thanks
@yubrajkarki.2 жыл бұрын
This is 100% wrong solution and function 4 and function 5.5 can't be taken
@numericalmethodsguy2 жыл бұрын
You may be confusing secant method and false position method. The false position method (mathforcollege.com/nm/topics/false_position.html , a bracketing method, uses secant lines to estimate the root of an equation. The secant method (nm.mathforcollege.com/topics/secant_method.html , an open method (estimates do not need to bracket the root), uses secant lines to estimate the root of an equation. 23 ▼
@mrodri6312 жыл бұрын
THX
@hakkanimim64886 жыл бұрын
alhamdolliah sir
@Darzs_chidane12 жыл бұрын
regula falsi and secant method are the same
@RobertoEmilioRomero6 жыл бұрын
chidane noppe. Not true. Dont confuse people.
@ashandesilva730811 жыл бұрын
thank u soo much :)
@Kinggenton12 жыл бұрын
i need muller's method!
@MKStudio-xs6mo8 жыл бұрын
how can i contact you sir
@nabilalmarfadi77487 жыл бұрын
dont expect him to answer u lol
@bblinkshorts11 жыл бұрын
thnx
@ozgunbzkrt12 жыл бұрын
nice pronunciation..
@JoffreyB6 жыл бұрын
no word about concept where does this formula appeared at all. No graph, no explanation, just stupid using of formula. Dis
@numericalmethodsguy6 жыл бұрын
Look at the link in the description that takes you to all resources in sequence. Better yet, for all resources, see below. 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%20method
@RobertoEmilioRomero6 жыл бұрын
JOFFREY BARATHEON this guy already derived the formula in a prior video.
@SchtekarnFU10 жыл бұрын
Damnit don't put the point in the center.. makes it look like multiplication
@RobertoEmilioRomero6 жыл бұрын
SchtekarnFU lol. He puts it there because its understood. If you dont understand it, dont put the . in the center.