the difference between bisection and false position method
Answers
Answer: #####Diagram is for false position method#####
Bisection Method:-
a) The bisection method is always convergent. Since the method brackets the root, the method is guaranteed to converge.
b) As iterations are conducted, the interval gets halved. So one can guarantee the decrease in the error in the solution of the equation.
False Position method :-
A shortcoming of the bisection method is that in dividing the interval from xl to xu into equal halves, no account is taken of the magnitude of f(xi) and f(xu). Indeed, if f(xi) is close to zero, the root is more close to xl than x0.
The false position method uses this property:
A straight line joins f(xi) and f(xu). The intersection of this line with the x-axis represents an improvement estimate of the root. This new root can be computed as:
It will really help u just try to understand diagram
