For Loop Starting at Zero

I'd like to run my Theta for loop across the length of X ( 0 to 1) with my stored values of BI

H = 0.1; 
I = 200;
Y = 0; 
BI = zeros(I,1);        
b = pi;
for i = 1:I
    b = fzero(@(b)(b*tan(b)-H),b); 
    BI(i,1) = b;
end

BI(end);

X = linspace(0,1,I); 

Theta = zeros(I,1);

for k = 1:length(X)
    Theta(k) =  ((((1.\BI).*(1-cos(BI))).\(0.5-(1.\(4.*BI)))).*sin(BI.*Y).*(cosh(2.*BI.*(k-1))-tanh(2.*BI).*sinh(2.*BI.*(k-1)))); 
end

Answer 1

[dpb]

H = 0.1; 
I = 200;
Y = 0; 
BI = zeros(I,1);        
b = pi;
for i = 1:I
    b = fzero(@(b)(b*tan(b)-H),b); 
    BI(i,1) = b;
end
unique(BI)

ans = 3.1731

shows you're starting guess isn't good enough to do more than find the same root over and over and over...try (for a much smaller sample size)

I=5; BI=zeros(I,1);
for i = 1:I
    b = fzero(@(b)(b*tan(b)-H),pi*i); 
    BI(i,1) = b;
end
unique(BI)

ans = 5×1

3.1731 6.2991 9.4354 12.5743 15.7143

diff(BI)

ans = 4×1

3.1260 3.1363 3.1389 3.1400

I don't really know what the last equation is supposed to be, but to evaluate in the loop over k, one presumes you're looking for BI(k) everywhere you have BI and the .\ operators are really supposed to denote division on an element-by-element basis.

Write the equation out longhand so it can be deciphered if you need more help...

[Tony Stianchie]

Thanks. I'd like to Sum (from i =1 to I) at each step along X using my stored values of BI.

So for X = 0, I'd have 5 series summations.

H = 0.1;

I = 5;

Y = 0;

BI = zeros(I,1);

for i = 1:I

b = fzero(@(b)(b*tan(b)-H),pi*i);

BI(i) = b ;

end

X = linspace(0,1,I);

Theta = zeros(I,1);

for k = 1:length(X)

for BI = (I,1)

Theta(k) = ((((1/BI).*(1-cos(BI)))/(0.5-(1/(4.*BI)))).*sin(BI.*Y).*(cosh(2.*BI.*(k-1))-tanh(2.*BI).*sinh(2.*BI.*(k-1))));

end

end

[dpb]

I showed the way to write BI(k) in the loop...oh! I ended up deleting it because it was too hard to try to decipher what was really intended, sorry.

for k = 1:length(X)
  Theta(k) =  ((((1/BI(k)).*(1-cos(BI(k))))/(....etc., ...
end

Too many parentheses for this old man's eyes to be able to count and the online code editor doesn't automagically match them so leave that to younger eyes than mine... <vbg>

But, there's still confusion about what you really want as there's no X in the equation anywhere; what's the point of it?