Please provide code and final answer.
Homework Answers
`Hey,
Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries
The maximum is 0.2
clc; % Clears the screen
clear all;
xl=0.5;
xr=1.5;
N=20;
x=linspace(xl,xr,N);
x=x';
dx=(xr-xl)/(N-1);
yl=0.2;
yr=0;
M=(diag(-2*ones(N,1),0)+diag(ones(N-1,1),-1)+diag(ones(N-1,1),1))/dx^2;
M(1,:)=[1 zeros(1,N-1)];
M(end,:)=[zeros(1,N-1) 1];
b=log(x)./x;
b(1)=yl;
b(end)=yr;
y=M\b;
plot(x,y)
fprintf('Maximum of computed y is %.3f\n',max(y));
Kindly revert for any queries
Thanks.
Add Answer to:
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Please provide me the maximum computed y vector for the given
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I know the solution is 0.2, but it says incorrect for my quiz. I think there...
I
know the solution is 0.2, but it says incorrect for my quiz. I
think there is a problem when writing log(x). Can someone help
me?
The code provided solves the boundary value problem dạy %= r- cos(x), y(1) = 1, y(5) = 2 , on the interval 1<x<5 using a d.x2 centred approximation of the derivative term and N=100 nodes. 1 4 x Matlab code for the solution of Module 2 xleft = 1; xright = 5; N =...
Use the attached Matlab code as a basis to solve the following ordinary differential equation usi...
Question 1
QUESTION 2
Use the attached Matlab code as a basis to solve the following ordinary differential equation using Euler's method, with timestep of 0.1, from t-0to t-100. d)0) -0 - sin (5vt cos(у Plot y versus t from t=0 to t=100. How many local maxima are on this interval(do not include end points). Be careful to count them all! Answer should be an integer 1 w% Matlab code for the solution of Module 2 3 dt-9.1; %dt is...
on matlab (1) Matrices are entered row-wise. Row commas. Enter 1 2 3 (2) Element A,...
on matlab
(1) Matrices are entered row-wise. Row commas. Enter 1 2 3 (2) Element A, of matrix A is accesser (3) Correcting an entry is easy to (4) Any submatrix of Ais obtained by d row wise. Rows are separated by semicolons and columns are separated by spaces ner A l 23:45 6. B and hit the return/enter kry matrix A is accessed as A Enter and hit the returnerter key an entry is easy through indesine Enter 19...
numerical methods 2+17), j = 0,1...... Problem 1: Recall that the Chebyshev nodes x0, 71,..., are...
numerical methods
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QUESTION: Show= (y − y0* )(y − y1*) . .(y − yn* ) = 5 it...
QUESTION: Show= (y − y0* )(y −
y1*) . .(y − yn* ) = 5
it is Part 1 at the bottom
We were unable to transcribe this image(7+17) Problem 1: Recall that the Chebyshev nodes x7, x1,...,x* are determined on the interval (-1,1] [-1, 1) as the zeros of Tn+1(x) = cos((n + 1) arccos(x)) and are given by 2j +12 X; - cos j = 0,1, ... n. n+1 2 Consider now interpolating the function f(x) = 1/(1+x2)...
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Function LUfac_solver.m is provided here:
function [x] = LUfac_solver(LU,b,piv)
%
% function [x] = LUfac_solver(lu,b)
%
% This program employs the LU factorization to solve the linear
system Ax=b.
%
% Input
% LU: lu matrix from GEpivot_new function
% b: right side column vector (ordered corresponding to original
vector
% sent to GEpivot_new)
% piv: vector indicating the pivoting (row interchanges that
took place
% during GE
%
% Output
% x: solution vector
%
% Written by Steve...
I need to create a MATLAB function, bvp_solve.m, to approximate the solution y(x). The function takes...
I need to create a MATLAB function, bvp_solve.m, to approximate
the solution y(x). The function takes the number of grid points n
as an input. The outputs are grid vector x and the solution vector
y
%% This is the function i have so far:
function [xi, yi] = bvp_solve(n)
% BVP_SOLVE computes the solution y(x) of a two-point boundary
value problem
% using finite difference method (FDM).
% The governing equation is
% y''' = -y + (x -...
Solve this initial value problem a) 1/2 dy/dx = rad(y+1) cos x, y(pi)=0
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Please provide me the maximum computed y vector for the given
domain
The colde provided solbe)() 1, y(5).nthe ntred aproimation o 100 no y value prob 1) -1. บู(5) -2, on the interval-rousing a centred approximation of the derivative term and N-100 nodes. dr2 Matlab code for the solution of Module 2 3 xright-5; 4 N 188: 5 x=linspace(xleft , X right ,N); 6 x-x"; %this just turns x into a column vector 7 dx = (xright-xleft)/(N-1); %1f theres N...
I
know the solution is 0.2, but it says incorrect for my quiz. I
think there is a problem when writing log(x). Can someone help
me?
The code provided solves the boundary value problem dạy %= r- cos(x), y(1) = 1, y(5) = 2 , on the interval 1<x<5 using a d.x2 centred approximation of the derivative term and N=100 nodes. 1 4 x Matlab code for the solution of Module 2 xleft = 1; xright = 5; N =...
Question 1
QUESTION 2
Use the attached Matlab code as a basis to solve the following ordinary differential equation using Euler's method, with timestep of 0.1, from t-0to t-100. d)0) -0 - sin (5vt cos(у Plot y versus t from t=0 to t=100. How many local maxima are on this interval(do not include end points). Be careful to count them all! Answer should be an integer 1 w% Matlab code for the solution of Module 2 3 dt-9.1; %dt is...
on matlab
(1) Matrices are entered row-wise. Row commas. Enter 1 2 3 (2) Element A, of matrix A is accesser (3) Correcting an entry is easy to (4) Any submatrix of Ais obtained by d row wise. Rows are separated by semicolons and columns are separated by spaces ner A l 23:45 6. B and hit the return/enter kry matrix A is accessed as A Enter and hit the returnerter key an entry is easy through indesine Enter 19...
numerical methods
2+17), j = 0,1...... Problem 1: Recall that the Chebyshev nodes x0, 71,..., are determined on the interval (-1,1) as the zeros of Tn+1(x) = cos((n +1) arccos(x)) and are given by 2j +17 X; = cos in +12 Consider now interpolating the function f(x) = 1/(1+22) on the interval (-5,5). We have seen in lecture that if equispaced nodes are used, the error grows unbound- edly as more points are used. The purpose of this problem is...
Problem 1: Recall that the Chebyshev nodes 20, 21, ...,.are determined on the interval (-1,1) as the zeros of Tn+1(x) cos((n + 1) arccos(x)) and are given by 2; +17 Tj = COS , j = 0,1,...n. n+1 2 Consider now interpolating the function f(x) = 1/(1 + x2) on the interval (-5,5). We have seen in lecture that if equispaced nodes are used, the error grows unbound- edly as more points are used. The purpose of this problem is...
QUESTION: Show= (y − y0* )(y −
y1*) . .(y − yn* ) = 5
it is Part 1 at the bottom
We were unable to transcribe this image(7+17) Problem 1: Recall that the Chebyshev nodes x7, x1,...,x* are determined on the interval (-1,1] [-1, 1) as the zeros of Tn+1(x) = cos((n + 1) arccos(x)) and are given by 2j +12 X; - cos j = 0,1, ... n. n+1 2 Consider now interpolating the function f(x) = 1/(1+x2)...
Function LUfac_solver.m is provided here:
function [x] = LUfac_solver(LU,b,piv)
%
% function [x] = LUfac_solver(lu,b)
%
% This program employs the LU factorization to solve the linear
system Ax=b.
%
% Input
% LU: lu matrix from GEpivot_new function
% b: right side column vector (ordered corresponding to original
vector
% sent to GEpivot_new)
% piv: vector indicating the pivoting (row interchanges that
took place
% during GE
%
% Output
% x: solution vector
%
% Written by Steve...
I need to create a MATLAB function, bvp_solve.m, to approximate
the solution y(x). The function takes the number of grid points n
as an input. The outputs are grid vector x and the solution vector
y
%% This is the function i have so far:
function [xi, yi] = bvp_solve(n)
% BVP_SOLVE computes the solution y(x) of a two-point boundary
value problem
% using finite difference method (FDM).
% The governing equation is
% y''' = -y + (x -...
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