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Article
Exponential-sum-approximation technique for variable-order time-fractional diffusion equations
In this paper, we study the variable-order (VO) time-fractional diffusion equations. For a VO function \(\alpha (t)\in (0,1)\) ...
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Article
Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations
We study the sine-transform-based splitting preconditioning technique for the linear systems arising in the numerical discretization of time-dependent one dimensional and two dimensional Riesz space fractional...
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Article
Preconditioning for symmetric positive definite systems in balanced fractional diffusion equations
In this paper, we study the finite volume discretization method for balanced fractional diffusion equations where the fractional differential operators are comprised of both Riemann-Liouville and Caputo fracti...
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Article
Open AccessEnvironmental remodeling of human gut microbiota and antibiotic resistome in livestock farms
Anthropogenic environments have been implicated in enrichment and exchange of antibiotic resistance genes and bacteria. Here we study the impact of confined and controlled swine farm environments on temporal c...
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Article
Circulant preconditioners for a kind of spatial fractional diffusion equations
In this paper, circulant preconditioners are studied for discretized matrices arising from finite difference schemes for a kind of spatial fractional diffusion equations. The fractional differential operator i...
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Article
Integration of a Nonlinear Vibration Absorber and Levitation Magnetoelectric Energy Harvester for Whole-Spacecraft Systems
This paper presents a new device integrating a nonlinear vibration absorber with a levitation magnetoelectric energy harvester for whole-spacecraft systems. This device effectively reduces vibration and has a ...
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Article
Vibrations in an elastic beam with nonlinear supports at both ends
Vibrations in an elastic beam supported by nonlinear supports at both ends under the influence of harmonic forces are analyzed in this study. It is hypothesized that the elastic Bernoulli-Euler beam is support...