Results 61 to 70 of about 485,712 (256)
On a new class of integro-differential equations [PDF]
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openaire +3 more sources
Free Surface Waves in Electrohydrodynamics With a Prescribed Vorticity Distribution
ABSTRACT Traditionally, the study of free surface flows assumed irrotationality to simplify matters, and the results seemed to have great success, notably with the Korteweg‐de Vries(KdV) equation. In the past decade, there have been attempts to remove this seemingly strong condition and replace it with a global constant vorticity equivalent to a linear
M. J. Hunt, Denys Dutykh
wiley +1 more source
In [10] the first author used Lyapunov functionals and studied the exponential stability of the zero solution of finite delay Volterra Integro-differential equation. In this paper, we use modified version of the Lyapunov functional that were used in [10]
Raffoul Youssef, Rai Habib
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On unified framework for nonlinear grey system models: An integro-differential equation perspective [PDF]
Lu Yang +3 more
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Neural Controlled Differential Equation and Its Application in Pharmacokinetics and Pharmacodynamics
Neural controlled differential equations (NCDE), driven by control variables, are capable to learn the discontinuous dynamics in the PK and PD datasets. ABSTRACT With the recent advances in machine learning (ML) and artificial intelligence (AI), data‐driven modeling approaches for pharmacokinetics (PK) and pharmacodynamics (PD) have gained popularity ...
Zhisong Wu +5 more
wiley +1 more source
A method for solving nonlinear Volterra’s population growth model of noninteger order
Many numerical methods have been developed for nonlinear fractional integro-differential Volterra’s population model (FVPG). In these methods, to approximate a function on a particular interval, only a restricted number of points have been employed.
D Baleanu +3 more
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ABSTRACT Urban expansion significantly impacts flood risk, particularly in rapidly growing areas where impervious surfaces exacerbate surface runoff. This study examines spatial patterns of urban growth and their effects on flood exposure in Mecklenburg County, North Carolina, from 2011 to 2021.
Pegah Madadi, Azad Sadeghi
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CMiNet: An R package and user‐friendly Shiny App for constructing consensus microbiome networks
Abstract Microbial networks offer critical insights into community structure, ecological interactions and host–microbe dynamics. However, constructing reliable microbiome networks remains challenging due to variability among existing inference methods, limited overlap between inferred networks and the absence of a gold standard (a universally accepted ...
Rosa Aghdam, Claudia Solís‐Lemus
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Effects of landscape fragmentation on floodplain fishes as revealed by species–habitat networks
Abstract How species interact with habitat patches is influenced primarily by habitat configuration (e.g., connectivity) and species’ functional traits. As levels of fragmentation increase, identifying the intricate connections between these components is crucial for biodiversity conservation.
Chen Zhang +8 more
wiley +1 more source
Mathematical Modeling of Measured Recalescence Velocities
ABSTRACT A moving‐boundary problem of synchronous directional and volumetric solidification in undercooled liquid drops is formulated and solved. Directional solidification is caused by the temperature gradient along the spatial direction, whereas volumetric growth of new phase elements is caused by the melt undercooling ahead of the phase transition ...
Dmitri V. Alexandrov +3 more
wiley +1 more source

