Mathmatics III -Bisection method for 4th sem for computer science in hindi easy explanation
*The bisection method is a numerical technique used to find roots of equations. Here's a step-by-step explanation:
1. **Identify Interval**: Choose an interval [a, b] where the function changes sign, indicating a possible root between a and b.
2. **Calculate Midpoint**: Compute the midpoint \( c \) of the interval: \( c = \frac{a + b}{2} \).
3. **Evaluate Function**: Evaluate the function at the midpoint \( f(c) \)
4. **Update Interval**: Determine the new interval:
5. **Iterate**: Repeat steps 2-4 until the interval is sufficiently small or the function value at is close to zero.
6. **Approximate Root**: The root is approximately the midpoint of the final interval
The bisection method is robust and guarantees convergence under certain conditions, making it a reliable method for finding roots numerically.
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4th sem M3
mathmatics 3
computer science
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