Results 81 to 90 of about 85,723 (275)
A reaction coefficient identification problem for fractional diffusion
, 2018 We analyze a reaction coefficient identification problem for the spectral fractional powers of a symmetric, coercive, linear, elliptic, second-order operator in a bounded domain $\Omega$.
Otarola, Enrique, Quyen, Tran Nhan Tam
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Solving the Caputo Fractional Reaction-Diffusion Equation on GPU
Discrete Dynamics in Nature and Society, 2014 We present a parallel GPU solution of the Caputo fractional reaction-diffusion equation in one spatial dimension with explicit finite difference approximation. The parallel solution, which is implemented with CUDA programming model, consists of three procedures: preprocessing, parallel solver, and postprocessing.
Jie Liu +4 more
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Anomalous diffusion with linear reaction dynamics: From continuous time random walks to fractional reaction-diffusion equations [PDF]
Physical Review E, 2006 We have revisited the problem of anomalously diffusing species, modeled at the mesoscopic level using continuous time random walks, to include linear reaction dynamics. If a constant proportion of walkers are added or removed instantaneously at the start of each step then the long time asymptotic limit yields a fractional reaction-diffusion equation ...
Henry, B. I. +2 more
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Advanced Engineering Materials, EarlyView.This study examines how several molten high‐silicon electrical steels interact with both conventional and recycled MgO–C refractories. For this, various immersion experiments are conducted. In addition to infiltration, a number of mechanisms are identified and explained that control the corrosion of the refractory material.
Lukas Neubert +7 more
wiley +1 more source
Packaging of Macroscopic Material Payloads: Needs, Challenges, Concepts, and Future Directions
Advanced Engineering Materials, EarlyView.This review introduces a unified framework that decomposes any macroscopic packaging system into the payload, packaging material, and packaging strategy and combines them into a conceptual packaging equation: packaging strategy = payload + packaging material.
Venkata S. R. Jampani, Manos Anyfantakis
wiley +1 more source
Singular Perturbation Problem in Boundary/Fractional Combustion
, 2015 Motivated by a nonlocal free boundary problem, we study uniform properties of solutions to a singular perturbation problem for a boundary-reaction-diffusion equation, where the reaction term is of combustion type.
Petrosyan, Arshak +2 more
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Solitary travelling auto-waves in fractional reaction–diffusion systems
Communications in Nonlinear Science and Numerical Simulation, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Datsko, Bohdan +2 more
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Fractional amplitude and phase dynamics in super‐diffusive reaction–diffusion systems [PDF]
PAMM, 2007 AbstractStudy of weakly non‐linear dynamics of a reaction–super‐diffusion system near a Hopf bifurcation by means of fractional analogues of complex Ginzburg‐Landau and Kuramoto‐Sivashinsky equations is presented. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Y. Nec, A.A. Nepomnyashchy, A.A. Golovin
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Advanced Engineering Materials, EarlyView.High‐temperature interactions between low‐sulfur Al‐killed Mn–B steel and MgO–C refractories (0 and 50 wt% recyclates) are studied via finger immersion tests (1600 °C). Surface‐active elements influence infiltration. MgO/CaS layer forms, along with spinel and calcium silicate.
Matheus Roberto Bellé +5 more
wiley +1 more source
Fractal and FractionalDiffusion equations play a crucial role in various scientific and technological domains, including mathematical biology, physics, electrical engineering, and mathematics. This article presents a new formulation of the diffusion equation in the context of
Anjuman, Andrew Y. T. Leung, Subir Das
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