The monotone traveling wave solution of a bistable three-species competition system via unconstrained neural networks

The monotone traveling wave solution of a bistable three-species competition system via unconstrained neural networks

In this paper, we approximate traveling wave solutions via artificial neural networks. Finding traveling wave solutions can be interpreted as a forward-inverse problem that solves a differential equation without knowing the exact speed. In general, we require additional restrictions to ensure the un...

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Bibliographic Details
Main Authors: Sung Woong Cho, Sunwoo Hwang, Hyung Ju Hwang
Format: Article
Language:English
Published: AIMS Press 2023-02-01
Series:Mathematical Biosciences and Engineering
Subjects:
partial differential equation
traveling wave solution
forward and inverse problems
physics-informed neural networks
monotonic neural networks
convergence analysis
Online Access:https://www.aimspress.com/article/doi/10.3934/mbe.2023309?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/mbe.2023309?viewType=HTML

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