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A New Trigonometrical Algorithm for Computing Real Root of Non-linear Transcendental Equations

Publication Type : Journal Article

Publisher : International Journal of Applied and Computational Mathematics

Source : International Journal of Applied and Computational Mathematics, (2019) 5:44

Url : https://link.springer.com/article/10.1007/s40819-019-0600-8

Campus : Amaravati

School : School of Physical Sciences

Department : Chemistry

Year : 2019

Abstract : This paper presents a new algorithm to find a non-zero real root of the transcendental equations using trigonometrical formula. Indeed, the new proposed algorithm is based on the combination of inverse of sine series and Newton Raphson method, which produces better approximate root than Newton Raphson method. The implementation of the proposed algorithm in MATLAB is also discussed. Certain numerical examples are presented to show the efficiency of the proposed algorithm. This algorithm will help to implement in the commercial package for finding a real root of a given transcendental equation.

Cite this Research Publication : V. K. Srivastav, S. Thota, M. Kumar: A New Trigonometrical Algorithm for Computing Real Root of Non-linear Transcendental Equations, International Journal of Applied and Computational Mathematics, (2019) 5:44

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