Mathematics, 2020 In this paper, we have considered a numerical difference approximation for solving two-dimensional Riesz space fractional convection-diffusion problem with source term over a finite domain. The convection and diffusion equation can depend on both spatial
Eyaya Fekadie Anley, Zhoushun Zheng
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A Simple Elimination of the Thermal Convection Effect in NMR Diffusiometry Experiments
Molecules, 2022 Thermal convection is always present when the temperature of an NMR experiment is different from the ambient one. Most often, it falsifies the value of the diffusion coefficient determined by NMR diffusiometry using a PGSE NMR experiment.
Dávid Nyul +3 more
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On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions [PDF]
, 2015 We analyze upwind difference methods for strongly degenerate convection-diffusion equations in several spatial dimensions. We prove that the local $L^1$-error between the exact and numerical solutions is $\mathcal{O}(\Delta x^{2/(19+d)})$, where $d$ is ...
Karlsen, Kenneth Hvistendahl +2 more
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Dynamics of EHD Laminar Plumes: scaling analysis and integral model [PDF]
, 2000 In this paper electrohydrodynamic (EHD) plumes are examined in the region far from the injecting electrode and the collector plate, for both two-dimensional and axisymmetric geometries.
Atten, Piere +3 more
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Concentration Distribution of Chloride Ion under the Influence of the Convection-Diffusion Coupling
Advances in Materials Science and Engineering, 2017 The transfer process of chloride ion under the action of the convection-diffusion coupling was analyzed in order to predict the corrosion of reinforcement and the durability of structure more accurately.
Q. L. Zhao, Y. Z. Zhang
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Entropy Solution Theory for Fractional Degenerate Convection-Diffusion Equations [PDF]
, 2010 We study a class of degenerate convection diffusion equations with a fractional nonlinear diffusion term. These equations are natural generalizations of anomalous diffusion equations, fractional conservations laws, local convection diffusion equations ...
Alibaud +38 more
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G-jitter induced magnetohydrodynamics flow of nanofluid with constant convective thermal and solutal boundary conditions. [PDF]
PLoS ONE, 2015 Taking into account the effect of constant convective thermal and mass boundary conditions, we present numerical solution of the 2-D laminar g-jitter mixed convective boundary layer flow of water-based nanofluids.
Mohammed J Uddin +2 more
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Diffusion and convection of gaseous and fine particulate from a chimney [PDF]
, 2006 Particle dispersion from a high chimney is considered and an expression for the subsequent concentration of the particulate deposited on the ground is derived.
Mackay, Cameron +2 more
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Complexity, 2020 In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and ...
Rongsan Chen
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Boundary Value Problems, 2022 Convection-diffusion equation is widely used to describe many engineering and physical problems. The finite element method is one of the most common tools for computing numerical solution. In 2003, Wang et al.
Lanyin Sun, Fangming Su
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