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Journal of Interdisciplinary Mathematics Volume 25, 2022 - Issue 7: Advanced Mathematical Models for Sustainable Technologies
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Research Article

An advanced approach of Regula-Falsi method exploiting the bisection method

Md Moksud Islam1 Department of Quantitative Sciences, International University of Business Agriculture and Technology (IUBAT), Dhaka, BangladeshCorrespondence[email protected]
,
Md Shafiqul Islam2 Department of Quantitative Sciences, International University of Business Agriculture and Technology (IUBAT), Dhaka, Bangladesh E-mail: [email protected]
&
Md Saiduzzaman3 Department of Quantitative Sciences, International University of Business Agriculture and Technology (IUBAT), Dhaka, Bangladesh E-mail: [email protected]
Pages 1999-2006 | Published online: 08 Dec 2022

Reference

  • Atkinson, Kendall E. An introduction to numerical analysis. John Wiley & Sons, 2008.
  • Finbow, A. “The bisection method: A best case analysis.” The American Mathematical Monthly 92.4 (1985): 285-286. doi: 10.1080/00029890.1985.11971601
  • Ryaben’kii, Victor S. and Semyon V. Tsynkov. A theoretical introduction to numerical analysis. Chapman and Hall/CRC, 2006.
  • Dauhoo, M. Zaid and M. Soobhug. “An adaptive weighted bisection method for finding roots of non-linear equations.” International Journal of Computer Mathematics 80.7 (2003): 897-906. doi: 10.1080/0020716031000079482
  • Gomes, Abel and José Morgado. “A generalized regula falsi method for finding zeros and extrema of real functions.” Mathematical Problems in Engineering 2013 (2013).
  • Sidi, Avram. “Generalization of the secant method for nonlinear equations.” Appl. Math. E-Notes 8 (2008): 115-123.
  • Verbeke, Johan and Ronald Cools. “The newton raphson method.” International Journal of Mathematical Education in Science and Technology 26.2 (1995): 177-193. doi: 10.1080/0020739950260202
  • Sabharwal, Chaman Lal. “Blended root finding algorithm outperforms bisection and regula falsi algorithms.” Mathematics 7.11 (2019): 1118. doi: 10.3390/math7111118
  • Argyros, Ioannis K., Yeol J. Cho and Saïd Hilout. Numerical methods for equations and its applications. CRC Press, 2012.
  • Xu, Sheng. An Introduction to Scientific Computing with MATLAB® and Python Tutorials. CRC Press, 2022.
  • Suhadolnik, Alojz. “Combined bracketing methods for solving nonlinear equations.” Applied Mathematics Letters 25.11 (2012): 1755-1760. doi: 10.1016/j.aml.2012.02.006
  • Sastry, Shankar S. Introductory methods of numerical analysis. PHI Learning Pvt. Ltd., 2012.

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