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Disadvantages of the bisection method in numerical methods?
The main disadvantage of the bisection method for finding the root of an equation is that, compared to methods like the Newton-Raphson method and the Secant method, it requires a lot of work and a lot of iterations to get an answer with very small error, whilst a quarter of the same amount of work on the N-R method would give an answer with an error just as small.In other words compared to other methods, the bisection method takes a long time to get to a decent answer and this is it's biggest disadvantage.
What is advantages of bisection method?
In the absence of other information, it is the most efficient.
How does the bisection method work when solving nonlinear equations?
it works exactly the same as it does with linear equations, you don't need to do any differentiation or anything fancy with this method, just have to plug in values of x, so it shouldn't make a difference if the equation is linear or nonlinear.
What is the advantages of using bisection method?
1. it is always convergent. 2. it is easy
What is the rate of convergence for the bisection method?
The rate of convergance for the bisection method is the same as it is for every other iteration method, please see the related question for more info. The actual specific 'rate' depends entirely on what your iteration equation is and will vary from problem to problem. As for the order of convergance for the bisection method, if I remember correctly it has linear convergence i.e. the convergence is of order 1. Anyway, please see the related question.
