Results 51 to 60 of about 87,914,593 (210)
Field Solutions of Parametric PDEs [PDF]
, 2021 We consider mesh based approaches for training neural network to produce field predictions to parametric partial differential equations (PDEs). This is in contrast to current approaches for ‘neural PDE solvers’ that employ collocation approaches to make ...
Ganapathysubramanian, Baskar +6 more
core
Energies, 2023 The design and implementation of efficient photovoltaic (PV) plants and wind farms require a precise analysis and definition of specifics in the region of interest. Reliable Artificial Intelligence (AI) models can recognize long-term spatial and temporal
Ladislav Zjavka
doaj +1 more source
Deep Underground Science and Engineering, EarlyView.This review elucidates the velocity–dispersion–attenuation coupling mechanisms of wave propagation in rock masses, compares six representative models, and reveals how pressure, temperature, mineral composition, and anisotropy jointly control dynamic responses in complex geological media.
Jiajun Shu +8 more
wiley +1 more source
Homotopy Analysis and Pade´ Methods for Solving Two Nonlinear Equations
Journal of Mathematical Extension, 2011 In this paper, we are giving analytic approximate solutions to nonlinear PDEs using the Homotopy Analysis Method (HAM) and Homotopy Pad´e Method(HPad´eM).
A. Golbabai, H. Kheiri, D. Ahmadian
doaj
Nonlinear Hydroelastic Waves beneath a Floating Ice Sheet in a Fluid of Finite Depth
Abstract and Applied Analysis, 2013 The nonlinear hydroelastic waves propagating beneath an infinite ice sheet floating on an inviscid fluid of finite depth are investigated analytically. The approximate series solutions for the velocity potential and the wave surface elevation are derived,
Ping Wang, Zunshui Cheng
doaj +1 more source
Deep Underground Science and Engineering, EarlyView.This study establishes a multi‐factor coupling framework for predicting breakdown pressure in laminated shale by integrating experimental hydraulic fracturing tests, physics‐informed neural networks (PINNs), and Sobol sensitivity analysis. It reveals how differential stress, the bedding dip angle, and the injection rate interact to influence fracture ...
Tao Wang +6 more
wiley +1 more source
European Journal of Organic Chemistry, EarlyView.A practical strategy for synthesizing β‐ and γ‐carbolinones from indole‐based Ugi 4‐CR adducts through an intramolecular radical cyclization using Fe(III)–H species is presented. This approach enables the efficient synthesis of spiro‐carbolinones under mild reaction conditions and demonstrates the effectiveness of secondary radicals in both cyclization
María F. Olvera‐Granados +1 more
wiley +1 more source
Precision therapies for genetic epilepsies in 2025: Promises and pitfalls
Epilepsia Open, EarlyView.Abstract By targeting the underlying etiology, precision therapies offer an exciting paradigm shift to improve the stagnant outcomes of drug‐resistant epilepsies, including developmental and epileptic encephalopathies. Unlike conventional antiseizure medications (ASMs) which only treat the symptoms (seizures) but have no effect on the underlying ...
Shuyu Wang +3 more
wiley +1 more source
, 2011 We use the extended multiple Riccati equations expansion method to construct a series of double-soliton-like solutions, double triangular function solutions and complexiton soliton solutions for nonlinear Jaulent-Miodek PDEs.
Khaled A. Gepreel, E. M. E. Zayed
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Energy Science &Engineering, EarlyView.Formed ~1.4 Ga, the carbonate reservoir of the Jixian System is a key geothermal reservoir in northern China. Differential basin–mountain evolution since the Cenozoic led to distinct reservoir‐forming histories; consequently, this same reservoir shows marked productivity contrasts between intramontane basins and the large rift Bohai Bay Basin ...
Chuanqing Zhu +6 more
wiley +1 more source