Convergence of Bisection Method

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Published

12-12-2022

DOI:

https://doi.org/10.58414/SCIENTIFICTEMPER.2022.13.2.14

Keywords:

Bisection method, convergence, stopping tolerance, error, percentage error, computer program, iterations.

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Issue

Vol. 13 No. 02 (2022): The Scientific Temper

Section

Articles

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Copyright (c) 2022 The Scientific Temper

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Authors

  • Lavkush Pandey M. L. K. Post Graduate College, Balrampur
  • Trilokinath Shiv Harsh Kisan Post Graduate College, Basti

Abstract

Fourth roots of the natural numbers from 1 to 30 have been calculated by Bisection method in the interval [0, 3] using stopping tolerance 0f 0.00001. Calculated roots have been compared with the actual values of roots to obtain error and percentage error in the calculated roots. Numerical rate of convergence has also been calculated in the determination of each fourthroot. The highest   numerical rate of convergence of Bisection method has been observed in the calculation of fourth root of 2 and is equal to 1.754385964912. The lowest numerical rate of convergence of Bisection method has been observed in the calculation of fourth roots of 1, 3, -8, 10, 12 and is equal to 1.333333333333. Average error, average percentage error and average numerical rate of convergence of Bisection method have been found to be 0.000000062635, 0.000003048055 and 1.458082183940 respectively

How to Cite

Pandey, L., & Trilokinath. (2022). Convergence of Bisection Method. The Scientific Temper, 13(02), 101–109. https://doi.org/10.58414/SCIENTIFICTEMPER.2022.13.2.14

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