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

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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.

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Authors and Affiliations

  1. Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888, Adama, Ethiopia

    Srinivasarao Thota

  2. Department of Mathematics and Computing, Motihari College of Engineering, Motihari, India

    Vivek Kumar Srivastav

  3. Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, India

    Manoj Kumar

Authors
  1. Vivek Kumar Srivastav
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  2. Srinivasarao Thota
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  3. Manoj Kumar
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Correspondence to Vivek Kumar Srivastav.

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Srivastav, V.K., Thota, S. & Kumar, M. A New Trigonometrical Algorithm for Computing Real Root of Non-linear Transcendental Equations. Int. J. Appl. Comput. Math 5, 44 (2019). https://doi.org/10.1007/s40819-019-0600-8

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  • DOI: https://doi.org/10.1007/s40819-019-0600-8

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