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Matematicheskoe modelirovanie, 2023, Volume 35, Number 2, Pages 3–14
DOI: https://doi.org/10.20948/mm-2023-02-01 (Mi mm4438) 		 
Method of nonlinear monotone tangent in solution of transcendental equations

A. M. Lipanov

Keldysh Institute of Applied Mathematics of RAS
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DOI: https://doi.org/10.20948/mm-2023-02-01
Abstract: The method of curvilinear monotone tangent in solving transcendental equations is proposed. In the denominator of the non-linear term of the expression for the mentioned tangent, a regulating relation used, which is a straight line with a control parameter. The algorithm for solving the problem described. Three examples of solving transcendental equations performed. The high efficiency of using the proposed method shown.
Keywords: nonlinear tangent, transcendental equation, monotony, numerical solution, control parameter.
Received: 18.04.2022
Revised: 22.06.2022
Accepted: 10.10.2022
English version:
Mathematical Models and Computer Simulations, 2023, Volume 15, Issue 4, Pages 698–706
DOI: https://doi.org/10.1134/S2070048223040105
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. M. Lipanov, “Method of nonlinear monotone tangent in solution of transcendental equations”, Mat. Model., 35:2 (2023), 3–14; Math. Models Comput. Simul., 15:4 (2023), 698–706
Citation in format AMSBIB
\Bibitem{Lip23}
\by A.~M.~Lipanov
\paper Method of nonlinear monotone tangent in solution of transcendental equations
\jour Mat. Model.
\yr 2023
\vol 35
\issue 2
\pages 3--14
\mathnet{http://mi.mathnet.ru/mm4438}
\crossref{https://doi.org/10.20948/mm-2023-02-01}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4566989}
\transl
\jour Math. Models Comput. Simul.
\yr 2023
\vol 15
\issue 4
\pages 698--706
\crossref{https://doi.org/10.1134/S2070048223040105}
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    		Математическое моделирование
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