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Transcendental equation solver: A novel neural network for solving transcendental equation

2022-05-12

 

Author(s): Liu, JY (Liu, Jingyi); Wang, GJ (Wang, Guojun); Li, WJ (Li, Weijun); Sun, LJ (Sun, Linjun); Zhang, LP (Zhang, Liping); Yu, LN (Yu, Lina)

Source: APPLIED SOFT COMPUTING Volume: 117 Article Number: 108425 DOI: 10.1016/j.asoc.2022.108425 Published: MAR 2022

Abstract: In this paper, we propose a novel method called transcendental equation solver (TES) for solving transcendental equations. The TES comprises a generator defined by a neural network and a discriminator defined by the mathematical expression of the transcendental equation. First, a large amount of random noise is input into the TES generator to generate the solutions of the equation; subsequently, the solution is input into the discriminator and the discriminator calculates the error between the discriminator output and the true value. Moreover, this error can update the parameters in the generator with the backpropagation algorithm. The experimental results proved that the TES exhibits an improvement in accuracy, convergence speed, and stability compared to the other methods for solving transcendental equations. (C)& nbsp;2022 Elsevier B.V. All rights reserved.

Accession Number: WOS:000778689300006

Author Identifiers:

Author        Web of Science ResearcherID        ORCID Number

Li, Weijun                  0000-0001-9668-2883

Zhang, Liping                  0000-0001-6508-3757

Yu, Lina                  0000-0002-7127-4450

ISSN: 1568-4946

eISSN: 1872-9681

Full Text: https://www.sciencedirect.com/science/article/pii/S1568494622000096?via%3Dihub



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