Question: (Numerical Analysis with MATLAB) (a) Make a table of the error of the three-point centered difference formula for f''(0), where f(x) = cos(x), with h

(Numerical Analysis with MATLAB)

(a) Make a table of the error of the three-point centered difference formula for f''(0), where f(x) = cos(x), with h = 10^-1 ,10^-2 , ,10^-12, the table should inlcude 3 columns like (h,f(x),error)

(b) Draw a plot of the results. Where does the minimum error appear to occur, in terms of machine epsilon?

Please worked MATLAB code here.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To address this numerical analysis problem we need to approximate the second derivative of fx cosx at x 0 using the threepoint centered difference for... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

You have prepared the following schedule for a project in which the key resource is a backhoe. This schedule is contingent on having 3 backhoes. You receive a call from your partner, Brooker, who...

Math 400 Assignment #3 -- Numerical Integration and Differentiation 1. For the function g x e x 2 2 Due: 6am April 09, 2016 use the centered difference formula with h 101 , 102 , , 1020 to create a...

Example from lecture 10 that will be used to solve the problem below. Use Matlab to study the effect of step size on the absolute true error resulting from using centered difference approximation to...

Please write all the MATLAB code, and if you can try to comment how it works or explain it below. Problem statement The role of the cochlea (inner ear) is to convert sounds into electrical signals...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

please have advises with it! f'(x ) ~ Dof (2) = f(ath) - f(x - h) 2h which we used to approximate f'(x) at a specific point a = 0. In this problem we consider the similar problem of needing to...

Calculus I Spring 2016 Lab 4: Different Types of Limits Lab Preparation: Answer the following questions individually and bring your write-up to class. For easy comparisons between the two contexts,...

subject: Differential Equations pls read instructions do not use ai. drop all references and link Instructions ODE application. - find an article related to ODE application - provide a short...

Step by step pls MATH 2414 - Review Exam 3 Please use this review (along with your notes and homework) to prepare for the exam. Determine if the following sequences whose nth terms are given below...

ECE 2240: Numerical Methods for Engineers Winter 2017 Lab 5: Numerical Differentiation and Integration Apr 3-7, 2017 The purpose of this lab is to: 1) Implement numerical methods for approximating...

Chart the structure of the current federal court system, noting the names of the courts at each level. Which courts were established under the Constitution? Which by Congress?

Indicate whether each of the following statements is true, false, or uncertain, and justify your answer. a. Efficient provision of a public good requires that each member of society place the same...

Which one of the following is not deductible when itemizing deductions on Schedule A ? Question 3 0 options: 1 ) State of Georgia TAV - T ( a one - time - - non - yearly - - ad valorum tax ) paid at...

I only need answer for D. thanks Q 1. Implement the following in Java: a Create a data type Person with three string fields: firstName, lastname and id. The field id is unique to each person. Add...