`Hey,
Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.
clc%clears screen
clear all%clears history
close all%closes all files
format long
e=0.05;
xmesh = 0:0.01:1;
solinit = bvpinit(xmesh, @guess);
sol = bvp4c(@bvpfcn, @bcfcn, solinit);
x=sol.x;
y=sol.y;
y=y(1,:);
plot(x, y(1,:), '-o')
disp('y(0.25)=');
y(x==0.25)
disp('y(0.5)=');
y(x==0.5)
disp('y(0.75)=');
y(x==0.75)
function dydx = bvpfcn(x,y) % equation to solve
dydx = zeros(2,1);
dydx = [y(2)
(y(1)^3 - y(1))/0.05];
end
%--------------------------------
function res = bcfcn(ya,yb) % boundary conditions
res = [ya(1)+1
yb(1)-1];
end
function g = guess(x) % initial guess for y and y'
g = [sin(x)
cos(x)];
end
Kindly revert for any queries
Thanks.
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