Recursive Function - Bisection

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Tony Rankin
Tony Rankin 2021년 3월 1일
편집: Rik 2021년 6월 1일
I have written code to compute the flow of a fluid in a pipe using the bisection method. This uses a while loop and works. However, I have been provided with code for a recursive function – which although perhaps not as efficient in this case – I would like to test.
I am having problems calling the function though. I have named a .m file with MyBisection and I have the correlation equation, the upper and lower bounds of the interval, and also the tolerance I want to use for the problem.
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Rena Berman
Rena Berman 2021년 5월 6일
(Answers Dev) Restored edit

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답변(1개)

David Hill
David Hill 2021년 3월 1일
Your problem is with your function.
E=1;
D=5;
Re=1;
f=@(x)-1./sqrt(x)-2.*log10(((E/D)/3.7)+2.51./(Re*sqrt(x)));%is this the equation? E, D, and Re will have to be provided before the function call
R=MyBiscection(f,0,1,1e-4);
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Steven Lord
Steven Lord 2021년 3월 1일
First, please don't put "clear all" in your script files. When you need to clear the variables, execute it at the prompt in the MATLAB Command Window.
Second, your code does not handle the case where the absolute value of f(m) is not less than tol and the sign of f(m) is not the same as either the sign of f(a) or the sign of f(b).
sp1 = sign(1) % +1
sp1 = 1
sm1 = sign(-1) % -1
sm1 = -1
sc = sign(3+4i) % complex
sc = 0.6000 + 0.8000i
To detect this I might put some code in your function to display the values of a, m, and b along with f(m) before entering your if / elseif section, something along the lines of this untested code:
fm = f(m);
result = table(a, m, b, fm, 'VariableNames', ["a", "m", "b", "f(m)"]);
disp(result)
Or maybe pass this between the recursive calls and augment it in each one so you can see the progress.

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