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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 c

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Answer #1

I have implemented the code as required. I have attached the code as well as the screenshot with output.

Code:

clc
xleft = 0.5;
xright = 1.5;
N = 20;
x = linspace(xleft,xright,N);
x = x';
dx = (xright - xleft)/(N-1);
yleft = 1;
yright = 1;
M2 = (diag(-2*ones(N,1),0) + diag(ones(N-1,1),-1)+diag(ones(N-1,1),1))/dx^2;
M1 = (diag(ones(N-1,1),1) - diag(ones(N-1,1),-1))/(2*dx);
M0 = eye(N);
M = 1*M2 + 1*M1 + 3*M0;

b = log(x)./x;
b(1) = yleft;
b(end) = yright;

y = M\b;
fprintf('The maximum value of vector y in this domain is: %.3f\n',max(y));
plot(x,y)
title('y" + y'' + 3*y = log(x) for x = (0.5,1.5)')
xlabel('x')
ylabel('y')

Screenshot:

Editor- DAPrograms MATLAB boundaryValue.m boundaryValue.m x+ clc xleft -0.5 right = 1.5; N-20; xlinspace (xleft, xright,N); F

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