Summing a series within a For Loop

Question

Tony Stianchie 2023-3-7

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1924275-summing-a-series-within-a-for-loop

评论： VBBV 2023-3-7

采纳的回答： Edoardo_a

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 m = 1:BI

Ts = sum(((((1/BI).*(1-cos(BI)))/(0.5-(1/(4.*BI)))).*sin(BI.*Y).*(cosh(2.*BI.*(X))-tanh(2.*BI).*sinh(2.*BI.*(X)))));

end

I'd like to:

Start at X =0
Sum Ts for all values of BI
Step to next value of X
Sum Ts for all values of BI
etc.

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Answer 1

Edoardo_a 2023-3-7

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https://ww2.mathworks.cn/matlabcentral/answers/1924275-summing-a-series-within-a-for-loop#answer_1186855

编辑：Edoardo_a 2023-3-7

在 MATLAB Online 中打开

Hi, do you mean something like that?

In this case I sum all the values in the same Ts variable for all the X entry.

If you want to save a different Ts sum for each X entry then you should preallocate and store each Ts from the for loop.

H = 0.1; 
I = 5;
Y = 1; 
       
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);
Ts = zeros(1);
for k = 1:length(X)
    for m = 1:length(BI) 
    Ts =Ts + ((((1/BI(m)).*(1-cos(BI(m))))/(0.5-(1/(4.*BI(m))))).*sin(BI(m).*Y).*(cosh(2.*BI(m).*(X(k)))-tanh(2.*BI(m)).*sinh(2.*BI(m).*(X(k)))));
    end
end

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VBBV 2023-3-7

在 MATLAB Online 中打开

H = 0.1; 
I = 5;
Y = 1; 
       
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);
Ts = zeros(1);
for k = 1:length(X)
    for m = 1:length(BI) 
       Ts(m) = ((((1/BI(m)).*(1-cos(BI(m)*pi/180)))/(0.5-(1/(4.*BI(m))))).*sin(BI(m)*(pi/180).*Y).*(cosh(2.*BI(m)*(pi/180).*(X(k)))-tanh(2.*BI(m)*pi/180).*sinh(2.*BI(m)*(pi/180).*(X(k)))));
                                        %->>
    end
    TS(k) = sum(Ts);
end
TS
TS = 1×5
    0.0030    0.0029    0.0028    0.0027    0.0027

You can do store the Ts values for each BI iteration using its index, and sum the Ts variable later. Also, input values to trigonometric functions, need to be in radians, for which you can multply with pi/180

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