Results 121 to 130 of about 412,760 (333)

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

The Combined Effects of Variable Viscosity and Thermal Conductivity of An Unsteady Casson Fluid Flow Along a Vertical Porous Channel With Convective Cooling Walls, Using the Bivariate Spectral Local Linearization Method

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This study examines the combined impact of different thermal conductivity and viscosity on unsteady non‐Newtonian Casson fluid flow of incompressible, electrical conductivity in a porous vertical channel with convective cooling walls, uniform magnetic field, and constant pressure gradient.
A. S. Adeyemo   +2 more
wiley   +1 more source

Photon entanglement detection by a single atom

open access: yesNew Journal of Physics, 2013
We use a single trapped ^40 Ca ^+ ion as a resonant, polarization-sensitive absorber to detect and characterize the entanglement of tunable narrowband photon pairs from a spontaneous parametric down-conversion source.
J Huwer   +5 more
doaj   +1 more source

Finite Biorthogonal Polynomials Suggested by the Finite Orthogonal Polynomials Mnp,qx$$ {M}_n^{\left(p,q\right)}(x) $$

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Constructing a biorthogonal structure from scratch, that is, defining a biorthogonal pair is quite tough. Because here the orthogonality must be established between two different sets. There are four known univariate biorthogonal polynomial sets, suggested by Laguerre, Jacobi, Hermite and Szegő‐Hermite polynomials, in the literature.
Esra Güldoğan Lekesiz
wiley   +1 more source

A Novel Optimized Local Linearization Hybrid Block Method for Chaotic Systems: Applications to Stretch‐Twist‐Fold Flow and Bond Orbital Chaotic Attractors

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The numerical approximation of nonlinear chaotic differential systems, such as the modified stretch‐twist‐fold (STF) flow and multi‐bond chaotic attractors, presents a significant challenge due to their sensitive dependence on initial conditions and complex dynamics where analytical solutions are unattainable.
Shina Daniel Oloniiju, Anastacia Dlamini
wiley   +1 more source

Practical Guide and Best Practices for Diffusion NMR Processing With GNAT

open access: yesMagnetic Resonance in Chemistry, EarlyView.
A practical and reproducible workflow for diffusion‐NMR (DOSY) data analysis is introduced through a step‐by‐step GNAT tutorial. By establishing clear processing guidelines, validation strategies, and reporting standards, this work aims to reduce variability in diffusion measurements and promote more transparent, comparable, and reliable DOSY studies ...
Tadeu Luiz Gomes Cabral   +3 more
wiley   +1 more source

Pure Gaussian Apodisation Reduces Integral Crosstalk Sensitivity in Quantitative NMR

open access: yesMagnetic Resonance in Chemistry, EarlyView.
Exponential apodisation redistributes peak area away from its centre, which increases crosstalk with neighbouring peaks and reduces integral trueness when integrating between defined regions. A pure Gaussian apodisation limits wing growth: Crosstalk between peaks is not worsened, and trueness is conserved during integration.
A. Flook   +2 more
wiley   +1 more source

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