A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES
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 ap...
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| Language: | English |
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2019-07-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/160 |
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| _version_ | 1839599095494213632 |
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| author | Srinivasarao Thota |
| author_facet | Srinivasarao Thota |
| author_sort | Srinivasarao Thota |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-a0f2970c9f53428aa48c4f49c9410dc2 |
| institution | Matheson Library |
| issn | 2414-3952 |
| language | English |
| publishDate | 2019-07-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-a0f2970c9f53428aa48c4f49c9410dc22025-08-02T15:25:59ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522019-07-015110.15826/umj.2019.1.00873A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIESSrinivasarao Thota0Department of Applied Mathematics, School of Applied Natural Sciences, Adama Science and Technology University, Post Box No. 1888, AdamaIn 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.https://umjuran.ru/index.php/umj/article/view/160Algebraic equations, Transcendental equations, Exponential series, Secant method |
| spellingShingle | Srinivasarao Thota A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES Ural Mathematical Journal Algebraic equations, Transcendental equations, Exponential series, Secant method |
| title | A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES |
| title_full | A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES |
| title_fullStr | A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES |
| title_full_unstemmed | A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES |
| title_short | A NEW ROOT–FINDING ALGORITHM USING EXPONENTIAL SERIES |
| title_sort | new root finding algorithm using exponential series |
| topic | Algebraic equations, Transcendental equations, Exponential series, Secant method |
| url | https://umjuran.ru/index.php/umj/article/view/160 |
| work_keys_str_mv | AT srinivasaraothota anewrootfindingalgorithmusingexponentialseries AT srinivasaraothota newrootfindingalgorithmusingexponentialseries |