A Repository for my Academic Mini Project done in 2021.
Neural Networks are very powerfull tools and are being used in various fields. In this Project the application of Neural Networks in solving DIfferential Equations is explored. I've studied the works of a Popular research paper - "Physics Informed Neural Networks"[1] done by Raissi et al. and applied to a few Physics Related Problems that i've come across in my Academia.
[1]
M. Raissi, P. Perdikaris, and G.E. Karniadakis.
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.
Journal of Computational Physics 378 (2019)
https://doi.org/https://doi.org/10.1016/j.jcp.2018.10.045
[2] Maziar Raissi. Deep Hidden Physics Models: Deep Learning of Nonlinear Partial Differential Equations (2018) arXiv preprint arXiv:1801.06637
[3] Maziar Raissi and George Em Karniadakis. Hidden physics models: Machine learning of nonlinear partial differential equations. Journal of Computational Physics (2017)