Root Finding Methods Through GUI in Spreadsheets

Root Finding Methods Through GUI in Spreadsheets

Authors

  • Atteeq Razzak Department of Mathematics, University of Karachi, Karachi, Pakistan
  • Muhammad Hani Zaheer Department of Physics, University of Karachi, Karachi, Pakistan
  • Muhammad Bilal Khan Department of Physics, University of Karachi, Karachi, Pakistan
  • Zaheer Uddin Department of Physics, University of Karachi, Karachi, Pakistan

DOI:

https://doi.org/10.53560/PPASA(59-1)644

Keywords:

Teaching Mathematics, Spreadsheets, Microsoft Excel, Root Finding Methods, Bisection Method, Secant Method, False Position Method, Newton-Raphson Method

Abstract

Root finding Methods like the Bisection Method, Newton Raphson Method, Secant Method, and False Position Method have been revisited through a new approach. EACH METHOD’S user-friendly GUI computer programs have been developed on an Excel spreadsheet. A root locator graph is introduced in the spreadsheets, which helps identify the initial guess(es) required to calculate root using these methods. All real roots are now easily calculable by any of the four methods. The detailed steps to calculate roots are also shown on the spreadsheet. The spreadsheet can be made ready for the next calculation with a single click. We have developed a technique for Excel that helps accept polynomial in variable ‘x’ without directly mentioning cell location.

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Published

2022-06-27

How to Cite

Razzak, A. ., Zaheer, M. H. ., Khan, M. B. ., & Uddin, Z. . (2022). Root Finding Methods Through GUI in Spreadsheets: Root Finding Methods Through GUI in Spreadsheets. Proceedings of the Pakistan Academy of Sciences: A. Physical and Computational Sciences, 59(1), 37–43. https://doi.org/10.53560/PPASA(59-1)644

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Articles