Numerical Analysis
Matlab
Use single - variable method
Write a matlab code to show how do you run this algorithm Given the function ƒ(x) = sin(x) - e^x + 2 Find the minimum value in [a, b]=[-1, 3]. Starting from the leftmost end point and move toward to rightmost end point (i.e forth) with your first ∆x = (b - a)/4 = (3 - (-1))/4 = 1 Stop the iteration when your ∆x ≤ 0.01
For the funtion f(x)=sin(x) - e^x + 2;
with limits x1=-1
and
x2=3
the function to get minimum values between two limits is
y=fminbnd(y,x1,x2);
put the functions in sequence, might work!
Numerical Analysis Matlab Use single - variable method Write a matlab code to show how do...
Using Matlab, write an .M code program: Write a program for numerical solution of nonlinear equation by Fixed-Point Iteration method with given accuracy elementof. Solve the equation. Try 3 different representations of the equation in the form x = g(x). For every representation solve the problem with initial approximations x0 = 0, x0 = 2, and x0 = 10 and with the accuracy elementof = 10^-8. f(x) = e^x - 3x^4 - 40x - 10 = 0.
I need a matlab code for given question. Please send matlab code sctript. a:2 b:3: c:4 d:2.1 e:3.1 Question 1) (60 p) Consider following equation: axt-bx'+ex=dx-e Find the value of x via; a) Fixed Point iteration method with an accuracy of 0.0004 and a starting value of 1. b) Newton's Method with an accuracy of 0.0004 and a starting value of 1. Write the codes and the results to your paper.
Use the following pseudocode for the Newton-Raphson method to write MATLAB code to approximate the cube root (a)1/3 of a given number a with accuracy roughly within 10-8 using x0 = a/2. Use at most 100 iterations. Explain steps by commenting on them. Use f(x) = x3 − a. Choose a = 2 + w, where w = 3 Algorithm : Newton-Raphson Iteration Input: f(x)=x3−a, x0 =a/2, tolerance 10-8, maximum number of iterations100 Output: an approximation (a)1/3 within 10-8 or...
THE CODE NEEDS TO BE ON MATLAB 2. Exercise (a) Let's write a script file that calculates exp(2) by a Maclaurin series using a while loop exp x )=-+-+-+-+ The while loop should add each of the series terms. The program error as defined below is smaller than 0.01. Error is the exact value (i.e. exp(2)), minus the approximate value (i.e., the current series sum) should exit the loop when the absolute absolute error-lexact-approx Use fprintf within the loop such...
photo of the code please and an explnation if possible, Construct a simple MATLAB function program my_factorial which calculates product of first n positive integer numbers (i.e. find factorial n!). For full points: - Make sure you protect the code from illogical use (n must be positive integer) - Test the function by comparing with built in MATLAB function factorial(n) - Make sure you test your function for any limitations. O marks) -3. Using my factorial function from the previous...
how would i do this code in MATLAB Step 2: Coding You are given a vector t. We define x = di cos(it) 16 Yi = 1:1.sin(i-1) for i = 1,2,...,15,16 where multiplication of vectors is assumed to be point-wise. Create a 4x4 subplot. - In the ith location, plot the values of x; versus y; with a solid line (pick a color). - Make the axis tight Run the code a few times before submitting. Note that the size...
matlab help plz Overview: In this exercise, you will write code to compare how two different mumerical methods (a middle Riemann sum, and MATLAB's integral function) evaluate the function fx) and the x-axis. The code should output the error between the two calculated areas. area between a Function Inputs Func- the function to be numerically integrated. a-the lower interval value. b-the upper interval value. N-the number of rectangles to be used. Function Outputs: Area Riemann- the numerical approximation for the...
matlab only ale boh th Blac Your job is to draw exercise making sure that the flowchart is correspondent to the MATLAB code given. That means that variable names, and order of calculations need to match between the code and the nlowchart. Finally, make sure you understand the MATLAB code. It is assumed that if you can do the flowchart of a complicated code, you can perform logical statements of that magnitude. Make your flow chart more detailed than ones...
code in matlab 1. [2+1+1pt] Power Method and Inverse Iteration. (a) Implement the Power Method. Use your code to find an eigenvector of -2 1 4 A= 1 1 2 4 1 -2 starting with Xo = (1, 2, -1)7 and Xo = (1, 2, 1)7. Report the first 5 iterates for each of the two initial vectors. Then use MATLAB's eig(A) to examine the eigenvalues and eigenvectors of A. Where do the sequences converge to? Why do the limits...
Write MATLAB code g(x)=x+a*f(x) f(x)=(e^x)+(x^2)-x-4 function f(x) is stored in fogp1.m (c) (1) Create a file gopgi.m to calculate the function glir, a) (see Preparation, ex. 7c) function [y] =gopg1(x,a) % input: x, a % output: y y= .....; (2) Create a file sucsub1.m and write a program that calculates the solution using the method of successive substitution. Calculate the values of g(x, a) by making multiple calls to the function gopg1(x, a). Take xo = 1.3 as starting value...