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On New Root Finding Algorithms for Solving Nonlinear Transcendental Equations

Publication Type : Journal Article

Publisher : International Journal of Chemistry, Mathematics and Physics

Source : International Journal of Chemistry, Mathematics and Physics, 4 (2) (2020), 18--24

Url : https://aipublications.com/uploads/issue_files/1IJCMP-APR20203-OnNew.pdf

Keywords : Fixed-point, Error-term, Iterative root finding algorithms, Taylor’s series, Transcendental equations

Campus : Amaravati

School : School of Physical Sciences

Department : Chemistry

Year : 2020

Abstract : In this paper, we present new iterative algorithms to find a root of the given nonlinear transcendental equations. In the proposed algorithms, we use nonlinear Taylor’s polynomial interpolation and a modified error correction term with a fixed-point concept. We also investigated for possible extension of the higher order iterative algorithms in single variable to higher dimension. Several numerical examples are presented to illustrate the proposed algorithms.

Cite this Research Publication : T. Gemechu, S. Thota: On New Root Finding Algorithms for Solving Nonlinear Transcendental Equations, International Journal of Chemistry, Mathematics and Physics, 4 (2) (2020), 18--24

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