Transient flow and heat transfer of CuO-Al<sub>2</sub>O<sub>3</sub>/H<sub>2</sub>O hybrid nanofluid flow over a radially stretching surface with dissipation and ohmic heating. [PDF]
Discov NanoRagavi M, Poornima T, Sreenivasulu P.
europepmc +1 more source
Implementing physics-informed neural networks with deep learning for differential equations. [PDF]
Front Artif IntellEmmert-Streib F +3 more
europepmc +1 more source
A deep neural network model for heat transfer in darcy-forchheimer hybrid nanofluid flow with activation energy. [PDF]
Sci RepAyman-Mursaleen M +4 more
europepmc +1 more source
Thermo solutal convective transport of aqueous Fe<sub>3</sub>O<sub>4</sub> nanofluid in an inclined porous annulus under combined thermophoretic and electrophoretic forces. [PDF]
Sci RepShilpa B +5 more
europepmc +1 more source
WF-PINNs: solving forward and inverse problems of burgers equation with steep gradients using weak-form physics-informed neural networks. [PDF]
Sci RepWang X, Yi S, Gu H, Xu J, Xu W.
europepmc +1 more source
Related searches:
Redefined quintic B-spline collocation technique for nonlinear higher order PDEs
Computational and Applied Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammad Tamsir +3 more
openaire +1 more source
An algorithmic construction of entropies in higher-order nonlinear PDEs
Nonlinearity, 2006A new approach to the construction of entropies and entropy productions for a large class of nonlinear evolutionary PDEs of even order in one space dimension is presented. The task of proving entropy dissipation is reformulated as a decision problem for polynomial systems.
Ansgar Jüngel, Daniel Matthes
openaire +1 more source
Higher-Order FEM for a System of Nonlinear Parabolic PDE’s in 2D with A-Posteriori Error Estimates
2004Initial-boundary value problems for systems of nonlinear parabolic partial differential equations arise in many important practical applications in electromagnetics, chemistry, modelling of diffusion and heat transfer processes and other fields. We are concerned with their solution by means of the method of lines with higher-order finite element ...
Martin Zítka +2 more
openaire +1 more source
Semiconductor modeling and nonlinear higher-order PDEs.
2010First we consider the sixth-order nonlinear parabolic equation which arise from an approximation of the quantum drift-di usion model and describe the evolution of the electron density in the semiconductor crystal. We prove the global{;in{;time existence of weak nonnegative solutions in one space dimension with periodic boundary conditions.
openaire