Bisection Method | Numerical Methods | Solution of Algebraic and Transcendental Equations

Bisection Method
Numerical Solutions of Algebraic and Transcendental Equations
Concept Explained
Questions Solved
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[@EdwardNorminton]

By 'accuracy' you mean the number of decimal places and the |b - a|/2^n < e gives the accuracy in terms of decimal places which is OK if the root is in [1,10] but give bad results if the root is near 0 e.g. x - 0.0000000001.
The sequence of intervals would be
1 [0.000000, 1.000000]
2 [0.000000, 0.500000]
3 [0.000000, 0.250000]
4 [0.000000, 0.125000]
5 [0.000000, 0.062500]
...
20 [0.000000, 0.000002]
so |b - a| = 0.000002
In this case, take the midpoint of this interval (0.000002) and we find
|0.000002 - 0.0000000001| < 5*10**(-6)
so that 0.000002 is an approximation to 0.0000000001 that is accurate to 5 decimal places but is a useless result.
Absolute error gives decimal place - relative error gives digits.

[@chongochishimba6207]

HERE I WAS THINKING THIS WAS GONNA B TOUGH.....thanks ma'am 🙂

[@kinotigikunda5518]

Very helpful video. It is well elaborated capped with good worked out questions

[@appliedmathematics3018]

Thanks

[@mradulchourasiya3868]

Thank You mam, Nicely explained.

[@sunnyjoseph2034]

Very very helpful mam

[@raajlaxmims2996]

Please do more videos

[@deekshadonakonda7194]

Very clear mam tq 😊👏👏🙏🙏

[@appliedmathematics3018]

Thanks 🙏

[@UCAKIRUTHIKANIII-BCAB]

Nice explanation 🙂

[@appliedmathematics3018]

Thanks

[@varunbadiger1552]

Mam please upload next method

[@sudarshv1357]

❤️🙌