Results 131 to 140 of about 1,588 (293)

Three models for rectilinear particle motion with the Basset history force

Electronic Journal of Differential Equations, 2015
We consider three model problems that describe rectilinear particle motion in a viscous fluid under the influence of the Basset history force. These problems consist of sedimentation starting from rest, impulsive motion in a quiescent fluid, and ...
Shujing Xu, Ali Nadim
doaj  

Application of the homotopy perturbation method for weakly singular Volterra integral equations

Journal of New Results in Science
In this paper, we study a weakly singular Volterra integral equation of the second kind with the kernel $\displaystyle K(x,t) = \left (\frac{t}{x}\right )^\nu\frac{1}{t}$, for some $\nu >0$ and $x\in[0,X]$.
Ahmet Altürk
doaj   +1 more source

From distant shores to an emerging island: the role of surface and subsurface transport in modeling seed dispersal

Ecography, EarlyView.
Long‐distance seed dispersal by ocean currents plays a critical role in structuring coastal plant communities. As direct observations of this phenomenon are infeasible, numerical modeling is a valuable tool. Here, we use Lagrangian particle tracking to examine the colonization of the newly forming island Norderoogsand (German Bight, Wadden Sea) by five
Jakob Rahner, Rahel Vortmeyer‐Kley, Ulf Gräwe, Michael Kleyer, Ulrike Feudel   +4 more
wiley   +1 more source

Numerical Study of Fourth-Order Volterra Partial Integrodifferential Equation With Weakly Singular Kernel via Subdivision Collocation Approach

Journal of Function Spaces
In the present article, an emerging subdivision-based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives,
Zainab Iqbal, Syeda Tehmina Ejaz, Jihad Younis, M. I. Elashiry, Faizah D. Alanazi   +4 more
doaj   +1 more source

A block-by-block method for Volterra integro-differential equations with weakly-singular kernel

, 1981
The theory of a block-by-block method for solving Volterra integro-differential equations with continuous kernels (see Makroglou [4], [5]) is adapted to Volterra integro-differential equations with weakly-singular kernels, and a rate of convergence is ...
Athena Makroglou, Makroglou, Athena, MAKROGLOU, A   +2 more
core   +1 more source

Machine Learning‐Assisted Design of BaTiO3‐Based Superparaelectric High‐Entropy Ceramics with Superior Energy Storage

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
This study employed an adaptive iterative strategy combining machine learning algorithms, domain knowledge, experimental design, and experimental feedback to aim to precisely and quickly discover high‐entropy ceramics with excellent energy storage performance.
Haowen Liu, Xiaoyan Zhang, Zhiyuan Ma, Kailong Ma, Xiwei Qi   +4 more
wiley   +1 more source

Confined Hot Carrier Cooling Via Excited‐State Energy Gap Engineering in Graphyne Carbon Allotropes

ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.
The excited‐state energy gap (EEG), regulated by the concentration of sp‐hybridized carbon, provides an effective handle for tuning electron–phonon coupling behavior. This design enables long‐lived confinement of hot carriers near the top of the EEG with controllable energy levels.
Fulong Dai, Zhaozhao Xiong, Yingcong Liu, Feiyu Cheng, Haochun Sun, Zhenfa Zheng, Jin Zhao, Zhuojian Liang, Zhuo Kang, Yue Zhang   +9 more
wiley   +1 more source

Series Solution of Weakly-Singular Kernel Volterra Integro-Differential Equations by the Combined Laplace-Adomian Method

, 2016
To solve the weakly-singular Volterra integro-differential equations, the combined method of the Laplace Transform Method and the Adomian Decomposition Method is used. As a result, series solutions of the equations are constructed.
Mohsen Soori (2561542)
core   +1 more source

Enabling Ultrastable Microbubbles With Graphene Aerogel Enrichment and Machine Learning for Highly Efficient Carbon Storage

Electron, EarlyView.
This study aims to introduce a novel‐designed structure of the colloidal aphron microbubbles reinforced by incorporating hydrophobic aerographene microparticles onto the hydrophobic outer shell. This results in the formation of a robust composite film and armored microbubble that offers exceptional ultrastability under elevated pressures of up to 400 ...
Mohammad Hossein Akhlaghi, Malek Naderi, Ali Pilehvar Meibody, Shurui Yang, Mojtaba Abdi‐Jalebi   +4 more
wiley   +1 more source

Glymphatic dysfunction couples with cortical excitation–inhibition imbalance in epilepsy: Evidence from Rasmussen encephalitis

Epilepsia, EarlyView.
Cong Fu et al. demonstrate that glymphatic system dysfunction is linked to enhanced inhibitory cortical activity using diffusion MRI and EEG. These findings highlight a mechanistic link between perivascular fluid dynamics and neuronal activity, suggesting a role for glymphatic function in maintaining cortical stability in epilepsy.
Cong Fu, Yujiao Yang, Pan Gong, Kun Lv, Yilin Liu, Chongyang Tang, Xiongfei Wang, Lixin Cai, Qingzhu Liu, Yuwu Jiang, Taoyun Ji, Guoming Luan   +11 more
wiley   +1 more source