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function error_script_heun (tf)
ts = 0; % set initial value of x_0
is = 0;
h = 0.0001; % set step-size
R = 0.5;
L = 0.0015;
A = 6;
T = 0.00015;
vin = @(t) A * cos(2*pi*t/T);
func = @(t, iout) (vin(t) - iout*R) / L; % define func
[t, iout ] = heun(func, ts, is, h);
%numerical solution
vout = vin(t) - iout * R;
%obtaining the exact solution with favorite method
i_{Exact} = (V_{initial_in}/L)*((2*pi)/T * sin((2*pi)/T*t) + (R/L)*cos((2*pi)/T*t) - (R/L)*exp(-(R/L)*t))/((2*pi)/T^2 + (R/L)^2);
exact = vin(t) - R*i_{Exact};
%error as a function of t
error= exact - vout;
figure(1);
plot(t,error); %for heun
loglog(error);
end
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