Results 81 to 90 of about 1,283,443 (330)

Finite Difference Solution Methods for a System of the Nonlinear Schrödinger Equations

open access: yesNonlinear Analysis, 2004
This paper investigates finite difference schemes for solving a system of the nonlinear Schrödinger (NLS) equations. Several types of schemes, including explicit, implicit, Hopscotch-type and Crank-Nicholson-type are defined.
A. Kurtinaitis, F. Ivanauskas
doaj   +1 more source

A multi-domain hybrid method for head-on collision of black holes in particle limit

open access: yes, 2011
A hybrid method is developed based on the spectral and finite-difference methods for solving the inhomogeneous Zerilli equation in time-domain. The developed hybrid method decomposes the domain into the spectral and finite-difference domains.
DEBANANDA CHAKRABORTY   +3 more
core   +1 more source

Exploring Dipolar Dynamics and Ionic Transport in Metal‐Organic Frameworks: Experimental and Theoretical Insights

open access: yesAdvanced Functional Materials, EarlyView.
In this study, the interplay of dipolar dynamics and ionic charge transport in MOF compounds is investigated. Synthesizing the novel structure CFA‐25 with integrated freely rotating dipolar groups, local and macroscopic effects, including interactions with Cs cations are explored.
Ralph Freund   +6 more
wiley   +1 more source

Mathematical Model of Uniform Cereal Crops Seeding Using a Double-Disk Coulter

open access: yesActa Technologica Agriculturae, 2020
The paper provided presents a new design of two-disk wide-row coulter that ensures uniform distribution of seeds to an even bed at the furrow bottom, as well as preserving of optimal distances between the seeds.
Derevjanko Dmytro   +4 more
doaj   +1 more source

Analyzing Electronic Excitations and Exciton Binding Energies in Y6 Films

open access: yesAdvanced Functional Materials, EarlyView.
The Y6 molecule is used for increasing the efficiency of organic solar cells. The exciton binding energy is calculated for ensembles of Y6 molecules that are representative of the typically used films. The calculations show that the excitons typically spread out over many molecules.
Sahar Javaid Akram   +2 more
wiley   +1 more source

Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications

open access: yes, 2019
In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian $(-\Delta)^{\frac{\alpha}{2}}$ ($0 < \alpha < 2$) in hypersingular integral form.
Duo, Siwei, Zhang, Yanzhi
core   +1 more source

Enhancing Optoelectronic Properties in Phthalocyanine‐Based SURMOFs: Synthesis of ABAB Linkers by Avoiding Statistical Condensation with Tailored Building Blocks

open access: yesAdvanced Functional Materials, EarlyView.
A novel phthalocyanine (PC)‐based metal–organic framework (MOFs) is synthesized using ditopic PC linkers obtained through regioselective statistical condensation. The resulting MOF exhibits significant improvements in electronic absorption, thereby enhancing the material's performance in light harvesting and energy conversion.
Lukas S. Langer   +12 more
wiley   +1 more source

A Novel Neural Network-Based Approach Comparable to High-Precision Finite Difference Methods

open access: yesAxioms
Deep learning methods using neural networks for solving partial differential equations (PDEs) have emerged as a new paradigm. However, many of these methods approximate solutions by optimizing loss functions, often encountering convergence issues and ...
Fanghua Pei, Fujun Cao, Yongbin Ge
doaj   +1 more source

Numerical Solution For Burger's _Fisher in Two - Dimensional Using Finite Difference Methods [PDF]

open access: yesالمجلة العراقية للعلوم الاحصائية, 2013
In this paper we solved Burger’s_Fisher equation numerically with two dimensions by using three finite differences methods which are the explicit method, exponential method and DuFort_Frankel method, after comparing numerical results which have been ...
doaj   +1 more source

Numerical analysis for the pure Neumann control problem using the gradient discretisation method

open access: yes, 2017
The article discusses the gradient discretisation method (GDM) for distributed optimal control problems governed by diffusion equation with pure Neumann boundary condition. Using the GDM framework enables to develop an analysis that directly applies to a
Droniou, Jerome   +2 more
core   +2 more sources

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