Results 121 to 130 of about 1,849,360 (286)
Advances in Difference Equations, 2019 In this paper, a high-order numerical scheme is proposed for solving the two-dimensional fractional reaction–subdiffusion equation. The method is based on adopting a third-order weighted and shifted Grünwald difference (WSGD) operator to approximate the ...
Xiaoyong Xu, Da Xu
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Global behavior of a third order rational difference equation [PDF]
Mathematica Bohemica, 2014 A third-order nonlinear difference equation of the form \[ x_{n+1}=\frac {ax_nx_{n-1}}{-bx_n+cx_{n-2}},\quad n\in \mathbb N_0,\tag{1} \] is considered, where \(a, b, c\) are positive constants. The forbidden set \(F\) for equation (1) is meant as a set of initial values \((x_{-2}, x_{-1}, x_0)\in \mathbb R^3\) such that its subsequent iteration under ...
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Advanced Engineering Materials, EarlyView.Nickel‐based alloys are widely used in high‐temperature applications due to their excellent mechanical strength and oxidation resistance. However, properties such as high‐temperature strength and pronounced work‐hardening make them difficult to machine.
Soheil Rooein +2 more
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Advanced Engineering Materials, EarlyView.This article presents the design, modeling, and characterization of air‐pressure–actuated programmable vibroacoustic metamaterials (PVAMM). The study focuses on leveraging air pressure to dynamically tune resonance frequencies for effective noise attenuation.
William Kaal +2 more
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Note on bounded solutions to nonhomogenous linear difference equations
Electronic Journal of Differential Equations, 2017 By using a solvability method along with the contraction mapping principle quite recently has been presented an interesting method for showing the existence of a unique bounded solution to a nonhomogenous linear second-order difference equation on the
Stevo Stevic +2 more
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A highly accurate difference method for solving the Dirichlet problem of the Laplace equation on a rectangular parallelepiped with boundary values in C^(k,1) [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаA three-stage difference method for solving the Dirichlet problem of Laplace's equation on a rectangular parallelepiped is proposed and justified. In the first stage, approximate values of the sum of the pure fourth derivatives of the solution are ...
Dosiyev, Adiguzel A.
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Effect of Laser Deoxidation on Adhesive‐Bonded Aluminum in an Oxygen‐Free Atmosphere
Advanced Engineering Materials, EarlyView.This study investigates laser ablation of aluminum under oxygen‐free conditions. The goal is to produce oxide‐free substrates that enable improved adhesive bonding with epoxy. Optimized laser parameters (90% overlap, 300 µJ) combined with oxide‐free substrates result in the highest tensile strength of the adhesive bond.
Sandra Gerland +5 more
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A stochastic-dynamic model for global atmospheric mass field statistics [PDF]
A model that yields the spatial correlation structure of atmospheric mass field forecast errors was developed. The model is governed by the potential vorticity equation forced by random noise. Expansion in spherical harmonics and correlation function was
Balgovind, R. +2 more
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Advanced Engineering Materials, EarlyView.This study investigates laser‐based oxide removal of Cu inserts in oxygen‐free conditions and examines long‐term oxidation kinetics and surface chemistry under different atmospheres via X‐ray photoelectron spectroscopy. Al–Cu compound casting with differently oxidized surfaces is performed, and intermetallic phase formation, morphology, and thermal ...
Timon Steinhoff +9 more
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An explicit solution of third-order difference equations
Journal of Computational and Applied Mathematics, 1994 In this note the author obtains explicit formulas for the solutions of homogeneous and nonhomogeneous third-order difference equations \(y(t + 3) = y(t + 2) + a(t)y(t)\), \(y(i) = c_ i\), \(i = 1,2,3\), respectively, \(y(t + 3) = y(t + 2) + a(t)y(t) + f(t)\), \(y(i) = c_ i\) \(i = 1,2,3\), where \(c_ i\) are constants, \(a(t)\) and \(f(t)\) are ...
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