A derivative-free root-finding algorithm using exponential method and its implementation
Abstract Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. Results Several numerical examples are presented to illustr...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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BMC
2023-10-01
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| Series: | BMC Research Notes |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13104-023-06554-1 |
| _version_ | 1797454011485388800 |
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| author | Srinivasarao Thota Mohamed M. Awad P. Shanmugasundaram Laxmi Rathour |
| author_facet | Srinivasarao Thota Mohamed M. Awad P. Shanmugasundaram Laxmi Rathour |
| author_sort | Srinivasarao Thota |
| collection | DOAJ |
| description | Abstract Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. Results Several numerical examples are presented to illustrate and validation of the proposed methods. Microsoft Excel and Maple implementation of the proposed algorithm is presented with sample computations. |
| first_indexed | 2024-03-09T15:31:06Z |
| format | Article |
| id | doaj.art-4a8224fceba74090b6bca7a3a7295c88 |
| institution | Directory Open Access Journal |
| issn | 1756-0500 |
| language | English |
| last_indexed | 2024-03-09T15:31:06Z |
| publishDate | 2023-10-01 |
| publisher | BMC |
| record_format | Article |
| series | BMC Research Notes |
| spelling | doaj.art-4a8224fceba74090b6bca7a3a7295c882023-11-26T12:14:46ZengBMCBMC Research Notes1756-05002023-10-011611710.1186/s13104-023-06554-1A derivative-free root-finding algorithm using exponential method and its implementationSrinivasarao Thota0Mohamed M. Awad1P. Shanmugasundaram2Laxmi Rathour3Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa VidyapeethamMechanical Power Engineering Department, Faculty of Engineering, Mansoura UniversityDepartment of Mathematics, College of Natural & Computational Sciences, Mizan-Tepi UniversityDepartment of Mathematics, National Institute of TechnologyAbstract Objective In this paper, we develop a new root-finding algorithm to solve the given non-linear equations. The proposed root-finding algorithm is based on the exponential method. This algorithm is derivative-free and converges fast. Results Several numerical examples are presented to illustrate and validation of the proposed methods. Microsoft Excel and Maple implementation of the proposed algorithm is presented with sample computations.https://doi.org/10.1186/s13104-023-06554-1Iterative algorithmsNonlinear equationsExponential methodAlgorithm implementationRoot-finding algorithms |
| spellingShingle | Srinivasarao Thota Mohamed M. Awad P. Shanmugasundaram Laxmi Rathour A derivative-free root-finding algorithm using exponential method and its implementation BMC Research Notes Iterative algorithms Nonlinear equations Exponential method Algorithm implementation Root-finding algorithms |
| title | A derivative-free root-finding algorithm using exponential method and its implementation |
| title_full | A derivative-free root-finding algorithm using exponential method and its implementation |
| title_fullStr | A derivative-free root-finding algorithm using exponential method and its implementation |
| title_full_unstemmed | A derivative-free root-finding algorithm using exponential method and its implementation |
| title_short | A derivative-free root-finding algorithm using exponential method and its implementation |
| title_sort | derivative free root finding algorithm using exponential method and its implementation |
| topic | Iterative algorithms Nonlinear equations Exponential method Algorithm implementation Root-finding algorithms |
| url | https://doi.org/10.1186/s13104-023-06554-1 |
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