Bisection Method with Explanation/Derivation and Example l MATLAB Code For Bisection Method

Bisection Method with Explanation | Example l Algorithm l Bisection Method MATLAB Code | Numerical Methods
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MATLAB Lectures
https://www.youtube.com/playlist?list=PLHDoiN16QzWNX0Pr4ZHORRCICWJ47ycBB

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Numerical Solution to Partial Differential Equations
https://www.youtube.com/playlist?list=PLHDoiN16QzWP2TkcKFV5QUm8E_cM2FFGd

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BISECTION METHOD
The bisection method is a bracketing method for finding a numerical solution of an equation of the form
?(?) = 0
when it is known that within a given interval [a, b], f(x) is continuous and the equation has a solution

When this is the case, f(x) will have opposite signs at the end points of the interval. As shown
has a solution between the points ? = ? and
? = ? , then either
?(?) greater than 0 ??? ?(?) less than 0 or
?(?) less than 0 ??? ?(?) greater than 0.
In other words, if there is a solution between
? =? ??? ? = ?, ?ℎ??
?(?)?(?) less than 0 .
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