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

Solving ratios, you are in charge of making punch for an upcoming dance. th...

you are in charge of making punch for an upcoming dance. the punch recipe makes 5 cups of punch by making 3 cups of cranberry juice with 2 cups of apple juice. What is the ratio of

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

How many more miles did he run today, Kevin ran 6.8 miles yesterday and 10....

Kevin ran 6.8 miles yesterday and 10.4 miles presently. How many more miles did he run today? To ?nd out how many more miles he ran today, subtract yesterday's miles from today

The central limit theorem, The Central Limit Theorem  The theories was ...

The Central Limit Theorem  The theories was introduced by De Moivre and according to it; if we choose a large number of simple random samples, says from any population and find

Pumping lemma for context free languages, 1. Construct a grammar G such tha...

1. Construct a grammar G such that L(G) = L(M) where M is the PDA in the previous question. Then show that the word aaaabb is generated by G. 2. Prove, using the Pumping Lemma f

Illustration of simpson rule, By using n = 4 and all three rules to approxi...

By using n = 4 and all three rules to approximate the value of the following integral. Solution Very firstly, for reference purposes, Maple provides the following valu

D, similar triangles diagram

similar triangles diagram

Algebra, 25 algebraic equations that equal 36

25 algebraic equations that equal 36

Profit and loss, A man sold an item for Rs 6,750 at a loss 25%. What will b...

A man sold an item for Rs 6,750 at a loss 25%. What will be the selling price of same item if he sells it at a profit of 15%?

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