i am being asked to solve a problem by eulers method

URGENT HELP NEEDED

given y'=y, and y(0)=2 on [0,1], exact sulution: y=2*exp(x) i was told to plot the exact solution vs Eulers solution on the same graph. Use a while loop to determine the value of n(number of intervals) to guarantee the maximum error between the exact solution and Euler is less than 10^-2.

[Walter Roberson]

http://www.mathworks.com/matlabcentral/answers/29922-why-your-question-is-not-urgent-or-an-emergency

Answer 1

[James Tursa]

See Euler's Method here:

https://en.wikipedia.org/wiki/Euler_method

Look at the examples. An outline to get you going on the basic method is:

n = number of intervals  <-- you fill this in
h = some stepsize <-- you fill this in
y = zeros(1,n+1);
t = zeros(1,n+1);
y(1) = some initial value <-- you fill this in
t(1) = some initial value <-- you fill this in
for k=2:n+1
    y(k) = y(k-1) + SOMETHING;  <-- you fill in the SOMETHING
    t(k) = t(k-1) + SOMETHING;  <-- you fill in the SOMETHING
end

Then plot the results against the exact solution.

[michael shoga]

the problem is finding n(the number of intervals). it says to use a while loop to determine that.

[James Tursa]

Get the basic Euler's method working first. Then you can worry about wrapping the code up in a while loop to determine n per the desired tolerance.