Newton's Interpolation

Script for Newton's Interpolation formula.

Description

Script for Newton's Interpolation
newton_interpolation(x, y, p)
x and y are two Row Matrices and p is point of interpolation

Example
>> x=[1,2,4,7,8]
>> y=[-9,-41,-189,9,523]
>> newton_interpolation(x, y, 5)
OR
>> a = newton_interpolation(x, y, 5)

• MATLAB release: MATLAB 5.3.1 (R11.1)

[Nadeem Malik]

it is excellent. student mostly ask about Newton's Interpolation.

[Metha Waga]

Dear Sir,
my name is Metha Martin Waga. I am a student at University of Applied
Sciences Berlin.
I need to write a presentation about Newton`s Interpolation Formular
and the involving applications Matlab-Program. I have downloaded your
Newton`s Interpolation Program from
http://www.mathworks.com/matlabcentral/fileexchange/loadFile.do?objectId=7405&objectType=FILE#

I would like to apply this program but I don't know how to use.

Could you suggest me how to use? Do you have any tutor information or a
guide file, which you could send to me. I 'll be appriciated so much.

My problem is,
On this programm I need to put nummer on x and y.
For exemple
x_i = (0,1.5,2.5,4.5)
y_i=(1,2,2,1)
After the Newton Interpolation Formular the result is y=x^3+5x^2+8x-12
Later I want to simulate the result with Matlab.

Best Regards,
Metha Waga

[Mansoor Ahmed]

Dear Mr Rafi, AOA

You don't know me. I am a student of NUST. I got ur id while searching for MATLAB tutorials regarding interpolation.

 I just wanna know if you have other MATLAB files regarding NUMERICAL ANALYSIS. If yes pls send them to me (if you dont mind ofcourse).

Thanx.

[iffi safe]

 

[Jeya tharsan]

Hi,
I have try to use this .m file but I get problem. I think this program works only for few number of x values. While I give 45 x & 45 associated y values, it gives wrong resutlts but while I use 25 or less x & associated y values it works fine. I used your program to interpolate blasius exact solutions(it comes under boundary layer theory)
         x y
         0 0
    0.2000 0.0066
    0.4000 0.0266
    0.6000 0.0597
    0.8000 0.1061
    1.0000 0.1656
    1.2000 0.2379
    1.4000 0.3230
    1.6000 0.4203
    1.8000 0.5295
    2.0000 0.6500
    2.2000 0.7812
    2.4000 0.9223
    2.6000 1.0725
    2.8000 1.2310
    3.0000 1.3968
    3.2000 1.5691
    3.4000 1.7470
    3.6000 1.9295
    3.8000 2.1161
    4.0000 2.3058
    4.2000 2.4981
    4.4000 2.6924
    4.6000 2.8883
    4.8000 3.0853
    5.0000 3.2833
    5.2000 3.4819
    5.4000 3.6809
    5.6000 3.8803
    5.8000 4.0799
    6.0000 4.2796
    6.2000 4.4795
    6.4000 4.6794
    6.6000 4.8793
    6.8000 5.0793
    7.0000 5.2793
    7.2000 5.4793
    7.4000 5.6792
    7.6000 5.8792
    7.8000 6.0792
    8.0000 6.2792
    8.2000 6.4792
    8.4000 6.6792
    8.6000 6.8792
    8.8000 7.0792
it finds correct y for given x values but it gives wrong results while interpolating.
Please check this, & if you correct the bug, Please send me a copy also
Thanking you

Best regards,
S.Jeya

[Muhammad Rafiullah Arain]