I am stuck up in error

I am using f(x)= exp^x - x^4

for bisection method with initial guesses a = −1 and b = 0 & ε=0.001 but error arises what to do any help in code?

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Answer 1

[Sarthak]

The error is arising due to the following reasons:

1. The function exp (4) - x^4 isn’t converging. Hence the convergence loop will go in infinite state.
2. Even if the function was converging, make sure the initial guesses are right. That is, the converging point should be between the initial guesses.
3. Precision: If the desired precision is too high, the bisection method may not converge within a reasonable amount of time.

You can refer to the below sample code to understand Bisection method.

function c = bisectionMethod(f,a,b,error) 
    c=(a+b)/2; 
    while abs(f(c))>error 
        if f(c)<0&&f(a)<0 
            a=c; 
        else 
            b=c; 
        end 
        c=(a+b)/2; 
    end 
end