Polynomial Interpolation Note: Please submit your project part B solutions as a single .m (MATLAB) An important problem
Posted: Wed Apr 27, 2022 8:19 pm
Polynomial Interpolation
Note: Please submit your project part B solutions as a
single .m (MATLAB)
An important problem in various science and engineering
application is to find a polynomial whose graph passes through a
specified set of points in the plane; this is called an
interpolating polynomial for the points. Interpolating
polynomial help scientist and engineers to design solution to
problems or understand the mechanisms of the systems they study. A
key skill for quantitative data analysis involves fitting models to
data. A good model can be used to predict the behaviour of the
system in conditions not originally measured in experiment.
In this project the effect of temperature (T) on
microalgae (Dinobryon divergens) growth rate
(Gr) is shown in the table below [1].
T (0C)
2
5
8
11
14
20
Gr (d-1)
0.20
0.29
0.44
0.50
0.66
0.56
Project Part B (Marks: 20)
Explain your observation. (Type your
answer in the m.file, you can use the % sign to
comment the written text). (Marks: 3)
Resources
Note: Use the rref() function in MATLAB to perform Gauss-Jordan
elimination and reduce the augmented matrix to reduced row echelon
form. From the reduced row echelon form, extract the unknown
coefficient a0,
a1,
a2…a5 for the interpolating
polynomial.
MATLAB access:
Note: Please submit your project part B solutions as a
single .m (MATLAB)
An important problem in various science and engineering
application is to find a polynomial whose graph passes through a
specified set of points in the plane; this is called an
interpolating polynomial for the points. Interpolating
polynomial help scientist and engineers to design solution to
problems or understand the mechanisms of the systems they study. A
key skill for quantitative data analysis involves fitting models to
data. A good model can be used to predict the behaviour of the
system in conditions not originally measured in experiment.
In this project the effect of temperature (T) on
microalgae (Dinobryon divergens) growth rate
(Gr) is shown in the table below [1].
T (0C)
2
5
8
11
14
20
Gr (d-1)
0.20
0.29
0.44
0.50
0.66
0.56
Project Part B (Marks: 20)
Explain your observation. (Type your
answer in the m.file, you can use the % sign to
comment the written text). (Marks: 3)
Resources
Note: Use the rref() function in MATLAB to perform Gauss-Jordan
elimination and reduce the augmented matrix to reduced row echelon
form. From the reduced row echelon form, extract the unknown
coefficient a0,
a1,
a2…a5 for the interpolating
polynomial.
MATLAB access: