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pro vyhledávání: '"Thakur, Sukirt"'
Time-fractional differential equations offer a robust framework for capturing intricate phenomena characterized by memory effects, particularly in fields like biotransport and rheology. However, solving inverse problems involving fractional derivativ
Externí odkaz:
http://arxiv.org/abs/2407.09496
Inverse resolution of spatially varying diffusion coefficient using Physics-Informed neural networks
Resolving the diffusion coefficient is a key element in many biological and engineering systems, including pharmacological drug transport and fluid mechanics analyses. Additionally, these systems often have spatial variation in the diffusion coeffici
Externí odkaz:
http://arxiv.org/abs/2403.03970
Physics-informed neural networks (PINNs) have been widely used to solve partial differential equations in a forward and inverse manner using deep neural networks. However, training these networks can be challenging for multiscale problems. While stat
Externí odkaz:
http://arxiv.org/abs/2301.13262
Publikováno v:
ViscoelasticNet: A physics informed neural network framework for stress discovery and model selection, Journal of Non-Newtonian Fluid Mechanics, Volume 330, 2024, 105265, ISSN 0377-0257
Viscoelastic fluids are a class of fluids that exhibit both viscous and elastic nature. Modelling such fluids requires constitutive equations for the stress, and choosing the most appropriate constitutive relationship can be difficult. We present vis
Externí odkaz:
http://arxiv.org/abs/2209.06972
Publikováno v:
In Journal of Non-Newtonian Fluid Mechanics August 2024 330
Akademický článek
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Akademický článek
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Autor:
Thakur S; School of Mechanical Engineering,Purdue University, West Lafayette, 47907, Indiana, USA., Esmaili E; School of Mechanical Engineering,Purdue University, West Lafayette, 47907, Indiana, USA., Libring S; Weldon School of Biomedical Engineering,Purdue University, West Lafayette, 47907, Indiana, USA., Solorio L; Weldon School of Biomedical Engineering,Purdue University, West Lafayette, 47907, Indiana, USA., Ardekani AM; School of Mechanical Engineering,Purdue University, West Lafayette, 47907, Indiana, USA.
Publikováno v:
ArXiv [ArXiv] 2024 Mar 06. Date of Electronic Publication: 2024 Mar 06.