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

Use the power function to find derivative, Given, y = f(x) = 2 x 3 - 3x 2 ...

Given, y = f(x) = 2 x 3 - 3x 2 + 4x +5 a)  Use the Power function to find derivative of the function. b)  Find the value of the derivative at x = 4.

Experience language pictures symbols-e - l - p - s , E - L - P - S : Has t...

E - L - P - S : Has the title of this section stumped you? Children, similarly, don't understand new symbols that are thrust upon them without giving them an adequate grounding. Y

Relate Fractions and Whole Numbers, Jon ran around a track that was one eig...

Jon ran around a track that was one eighth of a mile long.He ran around the track twenty four times.How many miles did Jon run in all

Faltings theorem, What is Faltings Theorem? Explain Faltings Theorem

What is Faltings Theorem? Explain Faltings Theorem

Perform algebraic operation , Perform each of the following algebraic expr...

Perform each of the following algebraic expression as instruction says;- I.Multiply 5x+6m+4y by5 II.Divide 4ax+6ay-10az by 2a

5% sales tax on a basket what was the price of the basket, The 5% sales tax...

The 5% sales tax on a basket was $0.70. What was the price of the basket? Use a proportion to solve the problem; part/whole = %/100. The whole is the price of the basket (wh

Quadratic Functions, Can you please explain what Quadratic functions are?

Can you please explain what Quadratic functions are?

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