Compute the derivative, Mathematics

Assignment Help:

Write an octave program that will take a set of points {xk, fk} representing a function and compute the derivative at the same points xk using

1. 2-point forward di erence

2. 2-point backward di erence

3. 3-point central di erence

4. 5-point central di erence

Use your program for the function

f(x) = ex

for which you know the correct answer to study the result as a function of h in the interval x ∈ [0; 1]. Make a table showing the values of the maximum absolute and relative errors for the 4 di erent methods for values of n=10, 100, 1000, 10000. Plot the di erent estimates for the derivative together with the analytical answer for 2 values of n. Comment on your results. You should submit an octave script or function le I can use to reproduce your results and a separate document (plain text le preferred) for your comments.

2050_Compute the derivative.png


Related Discussions:- Compute the derivative

Explain basic concepts of parallel lines, Explain Basic Concepts of Paralle...

Explain Basic Concepts of Parallel Lines ? Parallel lines are defined in section 1.2 and we use "//" to denote it. From the definition, we can get the following two consequenc

Sequence, how to find the indicated term?

how to find the indicated term?

Vectors, The angles between three non-zero and non coplanar vectors a,b and...

The angles between three non-zero and non coplanar vectors a,b and c are α between b and c and β between c and a and γ between a and b. The vector u and v are defined by u=(aX

Pde, i find paper that has sam my homework which i need it, in you website...

i find paper that has sam my homework which i need it, in you website , is that mean you have already the solution of that ?

Determine the area of the walkway, Mark is preparing a walkway around his i...

Mark is preparing a walkway around his inground pool. The pool is 20 by 40 ft and the walkway is intended to be 4 ft wide. Determine the area of the walkway? a. 224 ft 2 b.

Mathematical concepts and ideas , These experiences should be related to th...

These experiences should be related to the mathematical concepts and ideas that we teach them. Only then will these ideas appear relevant to the children, and be absorbed by them

Compound interest, Draw a flowchart for accumulated principal at the end of...

Draw a flowchart for accumulated principal at the end of 5 years by taking into account compound interest?

Find how much more space than the toy it will cover, A Solid toy in the for...

A Solid toy in the form of a hemisphere surmounted by the right circular cone of height  2cm  and  diameter  of  the  base  4  cm .If  a right  circular  cylinder circumscribes the

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd