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

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 Raphs...

Full description

Saved in:
Bibliographic Details
Published in:International journal of applied and computational mathematics 2019-04, Vol.5 (2), p.1-8, Article 44
Main Authors: Srivastav, Vivek Kumar, Thota, Srinivasarao, Kumar, Manoj
Format: Article
Language:English
Subjects:
Algorithms
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Mathematical analysis
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Newton-Raphson method
Nonlinear equations
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Sine series
Theoretical
Trigonometric functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-019-0600-8