Function that returns the Error

I have to assign variable names to the following items:

• Exact solution is 15.7214
• Current approximation of the solution is 15.7813
• Previous approximation of the solution is 15.9375

Than I have to write a function that returns the Relative True Error using TRE = 100*abs((exact-approx)/exact) and another function that returns the Absolute Relative Error using ARE= 100*abs((new-old)/new). I need to get the code correct before putting it into a function. I can only use:

• abs()
• function
• for-end
• fprintf
• if-elseif-else-end
• input
• plot
• size()
• while-end
• fprintf

The code I have so far is:

exact_sol = 15.7214;
current_approx_of_sol = 15.7813;
previous_approx_of_sol = 15.9375;
TRE = 100*abs((exact_sol-current_approx_of_sol)/exact_sol);
fprintf("The relative true error is %2.2g. \n", TRE)
ARE = 100*abs((new-previous_approx_of_sol)/new);
fprintf("The absolute relative error is %2.2g. \n", ARE)

I'm not sure if what to do about the "new" variable. I'm not sure if this is correct at all.

Answer 1

[Walter Roberson]

In this context, old -> previous_approx_of_sol and new -> current_approx_of_sol