Geodesic
A new root-finding algorithm using exponential series
Ural mathematical journal, Tome 5 (2019) no. 1, pp. 83-90

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, we present a new root-finding algorithm to compute a non-zero real root of the transcendental equations using exponential series. Indeed, the new proposed algorithm is based on the exponential series and in which Secant method is special case. The proposed algorithm produces better approximate root than bisection method, regula-falsi method, Newton-Raphson method and secant method. The implementation of the proposed algorithm in Matlab and Maple also presented. Certain numerical examples are presented to validate 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.
Keywords: exponential series, Secant method.
Mots-clés : algebraic equations, transcendental equations 
@article{UMJ_2019_5_1_a7,
     author = {Srinivasarao Thota},
     title = {A new root-finding algorithm using exponential series},
     journal = {Ural mathematical journal},
     pages = {83--90},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {2019},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a7/}
}
TY  - JOUR
AU  - Srinivasarao Thota
TI  - A new root-finding algorithm using exponential series
JO  - Ural mathematical journal
PY  - 2019
SP  - 83
EP  - 90
VL  - 5
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a7/
LA  - en
ID  - UMJ_2019_5_1_a7
ER  - 
%0 Journal Article
%A Srinivasarao Thota
%T A new root-finding algorithm using exponential series
%J Ural mathematical journal
%D 2019
%P 83-90
%V 5
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a7/
%G en
%F UMJ_2019_5_1_a7
Srinivasarao Thota. A new root-finding algorithm using exponential series. Ural mathematical journal, Tome 5 (2019) no. 1, pp. 83-90. http://geodesic.mathdoc.fr/item/UMJ_2019_5_1_a7/