Results 41 to 50 of about 5,852 (300)

On the Analysis of Numerical Methods for Nonstandard Volterra Integral Equation

Abstract and Applied Analysis, 2014
We consider the numerical solutions of a class of nonlinear (nonstandard) Volterra integral equation. We prove the existence and uniqueness of the one point collocation solutions and the solution by the repeated trapezoidal rule for the nonlinear ...
H. S. Mamba, M. Khumalo
doaj   +1 more source

A generalized spectral collocation method with tunable accuracy for fractional differential equations with end-point singularities

, 2017
We develop spectral collocation methods for fractional differential equations with variable order with two end-point singularities. Specifically, we derive three-term recurrence relations for both integrals and derivatives of the weighted Jacobi ...
George Em Karniadakis, Fanhai Zeng, Zeng, F., Mao, Z., Karniadakis, G. E., Zhiping Mao   +5 more
core   +1 more source

Ferroelectricity in Antiferromagnetic Wurtzite Nitrides

Advanced Functional Materials, EarlyView.
We establish MnSiN2${\rm MnSiN}_2$ and MnGeN2${\rm MnGeN}_2$ as aristotypes of a new multiferroic wurtzite family that simultaneously exhibits ferroelectricity and antiferromagnetism with altermagnetic spin splitting. By strategically substituting alkaline‐earth metals, we predict new materials with coexisting switchable polarization, spin texture, and
Steven M. Baksa, Lin‐Ding Yuan, Stephen D. Wilson, James M. Rondinelli   +3 more
wiley   +1 more source

Analysis of IVPs and BVPs on Semi-Infinite Domains via Collocation Methods

Journal of Applied Mathematics, 2012
We study the numerical solutions to semi-infinite-domain two-point boundary value problems and initial value problems. A smooth, strictly monotonic transformation is used to map the semi-infinite domain 𝑥∈[0,∞) onto a half-open interval 𝑡∈[−1,1).
Mohammad Maleki, Ishak Hashim, Saeid Abbasbandy   +2 more
doaj   +1 more source

Janus Photonic Graphics by Stratified Assembly of Two Distinct Colloids

Advanced Functional Materials, EarlyView.
Double‐sided Janus photonic micropatterns with vivid structural colors are fabricated through a single‐step bottom‐up strategy. Density‐driven stratification and depletion‐mediated crystallization of PMMA and PS binary colloids lead to exclusive lattices on opposite surfaces under centrifugal force.
Young Geon Kim, Yongseok Jung, Sehee Yang, Jiwoo Lee, Shin‐Hyun Kim   +4 more
wiley   +1 more source

The energy balance to nonlinear oscillations via Jacobi collocation method

Alexandria Engineering Journal, 2015
This study develops the energy balance based on Jacobi collocation method for accurate prediction of conservative nonlinear oscillator models with a single collocation point.
M.K. Yazdi, P.H. Tehrani
doaj   +1 more source

Collocation methods for a class of second order initial value problems with oscillatory solutions [PDF]

, 1993
We derive and analyse two families of multistep collocation methods for periodic initial-value problems of the form y" = f(x, y); y((^x)o) = yo, y(^1)(xo) = zo involving ordinary differential equations of second order in which the first derivative ...
Booth, Andrew S.
core  

Flash Assembloids: A Rapid Biofabrication of a Platform for Modeling Early Glioblastoma Invasion at the Glioblastoma–Brain Organoid Interfaces

Advanced Healthcare Materials, EarlyView.
This study presents a bioengineered assembloid (ASM) system combining glioblastoma (GBM) cells in oxidized alginate (OA) microgels with dorsal organoids (DOs). This model simulates brain tumor‐host interactions, revealing enhanced GBM invasion, altered gene expression, and aggressive infiltration patterns, demonstrating ASM as a valuable platform for ...
Chao Liang, Henry Robert Howard, Shihui Chen, Won‐Young Choi, Summer Cao, Arthur Chien, Kevin Zou, Michael Kassiou, Fabien Delerue, Ho Sang Jung, Yeonju Park, Young Mee Jung, Yong‐Dae Kwon, Karrie M. Kiang, Gilberto Ka‐Kit Leung, Ryohichi Sugimura, Ann‐Na Cho, Sang Jin Lee   +17 more
wiley   +1 more source

An Explicit Meshless Point Collocation Solver for Incompressible Navier-Stokes Equations

Fluids, 2019
We present a strong form, meshless point collocation explicit solver for the numerical solution of the transient, incompressible, viscous Navier-Stokes (N-S) equations in two dimensions.
George C. Bourantas, Benjamin F. Zwick, Grand R. Joldes, Vassilios C. Loukopoulos, Angus C. R. Tavner, Adam Wittek, Karol Miller   +6 more
doaj   +1 more source

Interface‐Engineered Binary Framework Composites: Advancing Porous Materials for Precision Medicine

Advanced Materials Interfaces, EarlyView.
Binary framework composites integrate two complementary porous architectures into a unified platform, enabling multifunctional design, enhanced structural tunability, and improved physicochemical performance. By combining high surface area, ordered porosity, interfacial synergy, and versatile functionalization, these hybrid materials offer new ...
Navid Rabiee, Mohammad Rabiee, Mohammad Akrami‐Hasan‐Kohal, Sidi A. Bencherif   +3 more
wiley   +1 more source