Solving initial-boundary value problems for systems of partial differential equations using neural networks and optimization techniques

DOI10.1016/j.jfranklin.2009.05.003zbMath1298.65155OpenAlexW2020561998MaRDI QIDQ468201

J. Herrera, Sumit K. Garg

Publication date: 6 November 2014

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2009.05.003

zbMATH Keywords

initial-boundary value problemsmultidimensional optimizationfeed forward artificial neural networkstime-dependent system of partial differential equations

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Neural networks for/in biological studies, artificial life and related topics (92B20) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Uses Software

• fminsearch

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