Geodesic
Method of nonlinear monotone tangent in solution of transcendental equations
Matematičeskoe modelirovanie, Tome 35 (2023) no. 2, pp. 3-14

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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, numerical solution, control parameter.
Mots-clés : transcendental equation, monotony 
@article{MM_2023_35_2_a0,
     author = {A. M. Lipanov},
     title = {Method of nonlinear monotone tangent in solution of transcendental equations},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {3--14},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2023_35_2_a0/}
}
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A. M. Lipanov. Method of nonlinear monotone tangent in solution of transcendental equations. Matematičeskoe modelirovanie, Tome 35 (2023) no. 2, pp. 3-14. http://geodesic.mathdoc.fr/item/MM_2023_35_2_a0/