Solving the initial value problem of ordinary differential equations by Lie group based neural network method

To combine a feedforward neural network (FNN) and Lie group (symmetry) theory of differential equations (DEs), an alternative artificial NN approach is proposed to solve the initial value problems (IVPs) of ordinary DEs (ODEs). Introducing the Lie group expressions of the solution, the trial solutio...

Descripción completa

Detalles Bibliográficos
Autores principales: Wen, Ying, Chaolu, Temuer, Wang, Xiangsheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2022
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8985966/
https://www.ncbi.nlm.nih.gov/pubmed/35385507
http://dx.doi.org/10.1371/journal.pone.0265992

Internet

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8985966/
https://www.ncbi.nlm.nih.gov/pubmed/35385507
http://dx.doi.org/10.1371/journal.pone.0265992

Ejemplares similares