Matlab Hermite Interpolation
Not what you're looking for?
(See attached file for full problem description with equations)
---
I need some guidance on a Matlab programming project. The project concerns Hermite polynomial interpolation. We are given values and and their derivatives and at and respectively, and we look for coefficients such that if
then
.
I found that the following coefficients satisfy the above requirements:
with .
Next I am to write a Matlab function which takes inputs x,y0,dy0,y1,dy1 and returns the value of the cubic polynomial q at x that satisfies the above conditions. I have written the function and it is pasted below:
function y=qHermite(x,y0,dy0,y1,dy1)
%%qHERMITE returns the value of the cubic polynomial q
%%at x which satisfies q(0)=y0,q'(0)=dy0,q(1)=y1,q'(1)=dy1
y = y0+dy0*x+(y1-y0-dy0)*x.^2+(dy1+dy0-2*(y1-y0))*x.^2*(x-1);
return
Next I am to find the corresponding formula for when are replaced by . This polynomial will be called . After some algebra work, I found and its coefficients to be
with
, , , .
Now finally comes the part with which I need assistance. I am to write a Matlab function for which uses the function I wrote for . I can write a program for Q which stands alone, but I do not see any way to write a function for Q which calls q, since the coefficients are different in each case. Please show me how this can be done.
Thanks in advance!
---
Purchase this Solution
Solution Summary
The expert examines Hermite Interpolation using Matlab. The given values and derivatives are discussed.
Solution Preview
Please see the attachment for solution.
I need some guidance on a Matlab programming project. The project concerns Hermite polynomial interpolation. We are given values and and their derivatives and at and respectively, and we look for coefficients such that if
then
.
I found that the following coefficients satisfy the above requirements:
with .
Next I am to write a Matlab function which ...
Purchase this Solution
Free BrainMass Quizzes
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.