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A new approach for solving nonlinear equations

    Author

    • Marzieh Dehghani-Madiseh

    Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran

,

Document Type : Regular paper

10.52547/CMCMA.1.2.74
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Abstract

In this paper, we describe and analyze an efficient method to find the roots of a general one variable function $f:\mathbb{R}\rightarrow \mathbb{R}$. The proposed method is based on partitioning an interval (that probably contains root(s) of $f$) into subintervals. From this point of view, we name this method a finite element approach for root finding. Also the convergence analysis of the presented method is presented. The new approach can be generalized to estimate the roots of the multivariable functions in higher dimensions. Also it is capable to find all of the roots of the function on a determined interval. Finally, numerical examples are given to illustrate the effectiveness of the new method.

Keywords

  • Nonlinear function
  • finite element approach
  • piecewise Lagrange interpolation
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Computational Mathematics and Computer Modeling with Applications (CMCMA)
Volume 1, Issue 2 - Serial Number 2
December 2022
Pages 74-85
Files
  • XML
  • PDF 319.86 K
History
  • Receive Date: 17 July 2022
  • Revise Date: 22 August 2022
  • Accept Date: 26 May 2023
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How to cite
  • RIS
  • EndNote
  • Mendeley
  • BibTeX
  • APA
  • MLA
  • HARVARD
  • CHICAGO
  • VANCOUVER
Statistics
  • Article View: 113
  • PDF Download: 241

APA

Dehghani-Madiseh, M. (2022). A new approach for solving nonlinear equations. Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), 74-85. doi: 10.52547/CMCMA.1.2.74

MLA

Dehghani-Madiseh, M. . "A new approach for solving nonlinear equations", Computational Mathematics and Computer Modeling with Applications (CMCMA), 1, 2, 2022, 74-85. doi: 10.52547/CMCMA.1.2.74

HARVARD

Dehghani-Madiseh, M. (2022). 'A new approach for solving nonlinear equations', Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), pp. 74-85. doi: 10.52547/CMCMA.1.2.74

CHICAGO

M. Dehghani-Madiseh, "A new approach for solving nonlinear equations," Computational Mathematics and Computer Modeling with Applications (CMCMA), 1 2 (2022): 74-85, doi: 10.52547/CMCMA.1.2.74

VANCOUVER

Dehghani-Madiseh, M. A new approach for solving nonlinear equations. Computational Mathematics and Computer Modeling with Applications (CMCMA), 2022; 1(2): 74-85. doi: 10.52547/CMCMA.1.2.74

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