Results 71 to 80 of about 48,064 (258)

Symmetries of nonlinear ordinary differential equations: the modified Emden equation as a case study

, 2015
Lie symmetry analysis is one of the powerful tools to analyze nonlinear ordinary differential equations. We review the effectiveness of this method in terms of various symmetries. We present the method of deriving Lie point symmetries, contact symmetries,
Chandrasekar, V. K., Mohanasubha, R., Senthilvelan, M.   +2 more
core   +1 more source

COFs on MOFs: Layer‐by‐Layer Synthesis of MOF@COF Nanoparticles with Synergistic Adsorption

Advanced Materials, EarlyView.
A layer‐by‐layer strategy enables the growth of crystalline covalent organic framework (COF) shells on metal–organic framework nanoparticles, creating core–shell structures with tunable porosity. Ordered interstitial mesopores are formed during shell growth, which are connected with the COF's intrinsic micropores, thereby enhancing water sorption. This
Ana Guillem‐Navajas, Lucía Torrico‐García‐Viso, Jose Antonio Suárez del Pino, Nekane Aramburu‐Merino, Pilar Segovia, Enrique G. Michel, Josep Puigmartí‐Luis, Enrique Velasco, Pedro Tarazona, Daniel Maspoch, David Rodríguez‐San‐Miguel, Félix Zamora   +11 more
wiley   +1 more source

Vibration Characteristics of Magnetostrictive Composite Cantilever Resonator with Nonlocal Effect

Sensors
Taking the nonlocal effect into account, the vibration governing differential equation and boundary conditions of a magnetostrictive composite cantilever resonator were established based on the Euler magnetoelastic beam theory. The frequency equation and
Yan Xu, Xinchun Shang, Ke Xu
doaj   +1 more source

Exact solutions for the static bending of Euler-Bernoulli beams using Eringen’s two-phase local/nonlocal model

AIP Advances, 2016
Though widely used in modelling nano- and micro- structures, Eringen’s differential model shows some inconsistencies and recent study has demonstrated its differences between the integral model, which then implies the necessity of using the latter model.
Y. B. Wang, X. W. Zhu, H. H. Dai
doaj   +1 more source

A Nonlinear Fractional Problem with Mixed Volterra-Fredholm Integro-Differential Equation: Existence, Uniqueness, H-U-R Stability, and Regularity of Solutions

Journal of Function Spaces, 2020
This paper considers nonlinear fractional mixed Volterra-Fredholm integro-differential equation with a nonlocal initial condition. We propose a fixed-point approach to investigate the existence, uniqueness, and Hyers-Ulam-Rassias stability of solutions ...
Somia Khaldi, Rachid Mecheraoui, Aiman Mukheimer   +2 more
doaj   +1 more source

Reductions for Some Ordinary Differential Equations Through Nonlocal Symmetries

Journal of Nonlinear Mathematical Physics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gandarias, M. L., Bruzón, M. S.
openaire   +1 more source

AutomataGPT: Transformer‐Based Forecasting and Ruleset Inference for Two‐Dimensional Cellular Automata

Advanced Science, EarlyView.
We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich, Noah S. David, Markus J. Buehler   +2 more
wiley   +1 more source

Fused Ring Engineering Induced Topology Control in Covalent Organic Frameworks: Unlocking Promoted Photocatalytic H2O2 Production and Selective Methane Oxidation

Angewandte Chemie, EarlyView.
By modulating the topological structures of two N‐heterocycle‐based covalent organic frameworks, Phen‐TTA with a kgd‐v topology exhibits narrower optical bandgap, lower exciton binding energy, and faster charge‐carrier kinetics compared to O‐TTA with an hcb topology.
Lei Wang, Zhipeng Xie, Xinyi Zeng, Hetao Xu, Mingyue Wang, Jie Yang, Chao Lin, Wandong Xing, Zhengxiao Guo, Xiong Chen   +9 more
wiley   +2 more sources

On some linear two-point inverse problem for a multidimensional heat conduction equation with semi-nonlocal boundary conditions

Қарағанды университетінің хабаршысы. Математика сериясы
It is known that V.A. Ilyin and E.I. Moiseev studied generalized nonlocal boundary value problems for the Sturm-Liouville equation, the nonlocal boundary conditions specified at the interior points of the interval under consideration. For such problems,
С.З. Джамалов, Ш.Ш. Худойкулов   +1 more
doaj   +1 more source

Nonlocal diffusion second order partial differential equations

Journal of Differential Equations, 2017
The paper deals with the second order integro-differential equation \[ u_{tt}=c u_t+bu(t,\xi)+u(t,\xi)\int_\Omega k(\xi,\eta)u(t,\eta)d\eta +h(t,u(t,\xi)), \] where \(\Omega\subset\mathbb{R}^n,\) \(n\geq2,\) is a \(C^1\)-smooth and bounded domain, \(b\) and \(c\) are constants and \(k: \Omega\times \Omega\to\mathbb{R},\) \(h: [0,T]\times\mathbb{R}\to ...
Benedetti, Irene, Loi, Nguyen Van, MALAGUTI, Luisa, TADDEI, Valentina   +3 more
openaire   +3 more sources