Neural Network Solution of Single-Delay Differential Equations

Author:

Fang Jie,Liu ChenglianORCID,Simos T. E.,Famelis I. Th.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference51 articles.

1. Lagaris, I.E., Likas, Fotiadis, A, D.I.: Artificial neural networks for solving ordinary and partial differential equations. IEEE Trans. Neural Netw. 9(5), 987–1000 (1998)

2. Hairer, E., Norsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I, Nonstiff Problems, Second edn. Springer, Berlin Heidelberg (1993)

3. Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II, Stiff and Differential-Algebraic Problems, Second Revised edn. Springer, Berlin Heidelberg (1996)

4. Butcher, J.C.: Numerical Methods for Ordinary Differnetial Equations, 3rd edn. Wiley, Hoboken (2016)

5. Simos, T.E.: High order closed Newton-Cotes trigonometrically-fitted formulae for the numerical solution of the Schrödinger equation. Appl. Math. Comput. 209, 137–151 (2009)

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