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clear;
ts = 0; % set initial value of x_0
is = 0;
h = 0.0001; % set step-size
tf = 0.03; % stop here
R = 0.5;
L = 0.0015;
vin = @(t) 3.5;
func = @(t, iout) (vin(t) - iout*R) / L; % define func
[t, iout ] = ralston(func, ts, tf, is, h);
vout = vin(t) - iout * R;
plot(t,vout);
xlabel({'Time', '(seconds)'});
ylabel({'V_{out}', '(volt)'});
title('V_{out} versus time (original function)');
%____________________________________________________________________
h = 0.0001;
tf = 0.03;
figure;
A = 3.5;
tau = 0.000150;
vin = @(t) A * exp(-t.^2/tau);
func = @(t, iout) (vin(t) - iout*R) / L; % define func
[t, iout ] = ralston(func, ts, tf, is, h);
vout = vin(t) - iout * R;
plot(t,vout);
xlabel({'Time', '(seconds)'});
ylabel({'V_{out}', '(volt)'});
title('V_{out} versus time (exponential square funtion)');
%____________________________________________________________________
h = 0.0001;
tf = 0.03;
figure;
A = 3.5;
tau = 0.000150;
vin = @(t) A * exp(-t/tau);
func = @(t, iout) (vin(t) - iout*R) / L; % define func
[t, iout ] = ralston(func, ts, tf, is, h);
vout = vin(t) - iout * R;
plot(t,vout);
xlabel({'Time', '(seconds)'});
ylabel({'V_{out}', '(volt)'});
title('V_{out} versus time (exponential function)');
%____________________________________________________________________
h = 0.0001;
tf = 0.03;
figure;
A = 4;
T = 0.0015;
vin = @(t) A * sin(2*pi*t/T);
func = @(t, iout) (vin(t) - iout*R) / L; % define func
[t, iout ] = ralston(func, ts, tf, is, h);
vout = vin(t) - iout * R;
plot(t,vout);
xlabel({'Time', '(seconds)'});
ylabel({'V_{out}', '(volt)'});
title('V_{out} versus time (sine function)');
%____________________________________________________________________
h = 0.0001;
tf = 0.03;
figure;
A = 4;
T = 0.0015;
vin = @(t) A * square(2*pi*t/T);
func = @(t, iout) (vin(t) - iout*R) / L; % define func
[t, iout ] = ralston(func, ts, tf, is, h);
vout = vin(t) - iout * R;
plot(t,vout);
xlabel({'Time', '(seconds)'});
ylabel({'V_{out}', '(volt)'});
title('V_{out} versus time (square function)');
%____________________________________________________________________
h = 0.0001;
tf = 0.03;
figure;
A = 4;
T = 0.0015;
vin = @(t) A * sawtooth(2*pi*t/T);
func = @(t, iout) (vin(t) - iout*R) / L; % define func
[t, iout ] = ralston(func, ts, tf, is, h);
vout = vin(t) - iout * R;
plot(t,vout);
xlabel({'Time', '(seconds)'});
ylabel({'V_{out}', '(volt)'});
title('V_{out} versus time (sawtooth function)');
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