The Possibility of Neural Network Approach to Solve Singular Perturbed Problems

Kim, JeeHyun; Young Im Cho

doi:10.9708/jksci.2021.26.01.069

Recentlly neural network approach for solving a singular perturbed integro-differential boundary value problem have been researched. Especially the model of the feed-forward neural network to be trained by the back propagation algorithm with various learning algorithms were theoretically substantiated, and neural network models such as deep learning, transfer learning, federated learning are very rapidly evolving. The purpose of this paper is to study the approaching method for developing a neural network model with high accuracy and speed for solving singular perturbed problem along with asymptotic methods. In this paper, we propose a method that the simulation for the difference between result value of singular perturbed problem and unperturbed problem by using neural network approach equation. Also, we showed the efficiency of the neural network approach. As a result, the contribution of this paper is to show the possibility of simple neural network approach for singular perturbed problem solution efficiently.

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* 2021년 이후 발행 논문의 참고문헌은 현재 구축 중입니다.

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이 논문은 한국연구재단의 지원을 받아 작성되었습니다.

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