Answered: Using matlab, Make a table of the…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Question

Using matlab,

Make a table of the error of the three-point centered-difference formula for f ′(0), where f (x) = sinx − cosx, with h = 10−1,...,10−12, as in the table in Section 5.1.2. Draw a plot of the results. Does the minimum error correspond to the theoretical expectation?

Expert Solution

Step 1: Aalgorithm :

Define the function $Error converting from MathML to accessible text.$ .
Define the analytical derivative $Error converting from MathML to accessible text.$ .
Create an array of step sizes $Error converting from MathML to accessible text.$ ranging from $1 0 to the power of negative 1 end exponent$ to $1 0 to the power of negative 12 end exponent$ in decreasing order (e.g., using $Error converting from MathML to accessible text.$ ).
Initialize arrays to store errors and approximations.
For each step size $Error converting from MathML to accessible text.$ :
- Compute the approximation using the centered-difference formula: $Error converting from MathML to accessible text.$ .
- Compute the error as the absolute difference between the approximation and the analytical derivative: $Error converting from MathML to accessible text.$ .
- Store the error and approximation in their respective arrays.
Display a table showing step size, approximation, and error.
Create a log-log plot with step sizes on the x-axis and errors on the y-axis.
Label the x-axis as "Step Size (h)" and the y-axis as "Error".
Add a title to the plot.
Turn on the grid for the plot.
Display the plot.
Define the function $Error converting from MathML to accessible text.$ .
Define the analytical derivative $Error converting from MathML to accessible text.$ .
Create an array of step sizes $Error converting from MathML to accessible text.$ ranging from $1 0 to the power of negative 1 end exponent$ to $1 0 to the power of negative 12 end exponent$ in decreasing order (e.g., using $Error converting from MathML to accessible text.$ ).
Initialize arrays to store errors and approximations.
For each step size $Error converting from MathML to accessible text.$ :
- Compute the approximation using the centered-difference formula: $Error converting from MathML to accessible text.$ .
- Compute the error as the absolute difference between the approximation and the analytical derivative: $Error converting from MathML to accessible text.$ .
- Store the error and approximation in their respective arrays.
Display a table showing step size, approximation, and error.
Create a log-log plot with step sizes on the x-axis and errors on the y-axis.
Label the x-axis as "Step Size (h)" and the y-axis as "Error".
Add a title to the plot.
Turn on the grid for the plot.
Display the plot.

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 20 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

where is the Matlab coding, it was asked to do using Matlab

Solution

by Bartleby Expert

SEE SOLUTION

Knowledge Booster

Fundamentals of Boolean Algebra and Digital Logics

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions