solving implicit equations with the bisection method

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dantheman413
dantheman413 2012-4-6
Hello, I am looking for reusable code where I can enter implicit equations such as ln(x)=sin(x) for example or x*tan(x)=Biot #. I prefer using the bisection method of root finding. A code that utilizes a loop and is easy to comprehend wold be the best! I also would like to get my error down to atleast 5%. Anyone have any ideas? Thanks and enjoy the soon to come weekend!

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回答（1 个）

Walter Roberson
Walter Roberson 2012-4-6
initial_guess = 1;
f1 = @(x) ln(x) - sin(x);
f1_solution = fzero(f1, initial_guess);
f2 = @(x) x*tan(x) - Biot_number;
f2_solution = fzero(f1, initial_guess);

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