An Effective Dissipation-Preserving Fourth-Order Difference Solver for Fractional-in-Space Nonlinear Wave Equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-019-00921-6
Abstract: In this paper, we devise an efficient dissipation-preserving fourth-order difference solver for the fractional-in-space nonlinear wave equations. First of all, we present a detailed derivation of the discrete energy dissipation property of the system. Then,… read more here.
Keywords: dissipation; preserving fourth; fourth order; order difference ... See more keywords
A pseudopotential multiphase lattice Boltzmann model based on high-order difference
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Heat and Mass Transfer"
DOI: 10.1016/j.ijheatmasstransfer.2018.08.002
Abstract: The hyperbolic tangent function is usually used as a reliable approximation of the equilibrium density distributions of a system with phase transitions. However, analyzing the accuracies of the numerical derivatives, we find that its numerical… read more here.
Keywords: difference; order difference; model; high order ... See more keywords
Off-Grid DOA Estimation Aiding Virtual Extension of Coprime Arrays Exploiting Fourth Order Difference Co-Array With Interpolation
Sign Up to like & getrecommendations! Published in 2018 at "IEEE Access"
DOI: 10.1109/access.2018.2865419
Abstract: In this paper, a novel array structure exploiting coprime arrays is proposed which can be very proficient to determine the number of consecutive lags in proportion with the number of array elements. The proposed method… read more here.
Keywords: array; order; order difference; difference array ... See more keywords
Simplified and Enhanced Multiple Level Nested Arrays Exploiting High-Order Difference Co-Arrays
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2019.2914887
Abstract: Based on the high-order difference co-array concept, an enhanced four-level nested array (E-FL-NA) is first proposed, which optimizes the consecutive lags at the fourth-order difference co-array stage. To simplify sensor location formulations for comprehensive illustration… read more here.
Keywords: simplified enhanced; order difference; level; level nested ... See more keywords
Bounded and periodic solutions to the linear first-order difference equation on the integer domain
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-017-1350-8
Abstract: The existence of bounded solutions to the linear first-order difference equation on the set of all integers is studied. Some sufficient conditions for the existence of solutions converging to zero when n→−∞$n\to -\infty$, as well… read more here.
Keywords: difference; first order; order difference; equation ... See more keywords
Evaluation of eight nonlinear crystals for phase-matched Terahertz second-order difference-frequency generation at room temperature
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DOI: 10.1364/ome.383548
Abstract: Using terahertz time-domain spectroscopy, we report the principal values of absorption coefficients and refractive indices as a function of wavelength between 0.5 and 2.0 THz of eight attractive nonlinear crystals: YCOB, BNA, LBO, CSP, AGS,… read more here.
Keywords: nonlinear crystals; frequency generation; second order; order difference ... See more keywords
A Simplification and Generalization of Elsayed and Ibrahim's Two-Dimensional System of Third-Order Difference Equations
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DOI: 10.3390/sym14122683
Abstract: A full Lie analysis of a system of third-order difference equations is performed. Explicit solutions, expressed in terms of the initial values, are derived. Furthermore, we give sufficient conditions for the existence of two-periodic and… read more here.
Keywords: order difference; system third; third order; difference equations ... See more keywords
Bounded Solutions to Nonhomogeneous Linear Second-Order Difference Equations
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DOI: 10.3390/sym9100227
Abstract: By using some solvability methods and the contraction mapping principle are investigated bounded, as well as periodic solutions to some classes of nonhomogeneous linear second-order difference equations on domains N 0 , Z ∖ N… read more here.
Keywords: difference equations; nonhomogeneous linear; second order; order difference ... See more keywords
Asymptotic behavior of solutions of second-order difference equations of Volterra type
Sign Up to like & getrecommendations! Published in 2019 at "TURKISH JOURNAL OF MATHEMATICS"
DOI: 10.3906/mat-1904-30
Abstract: We establish sufficient conditions for the existence of a solution x of the above equation with the property xn = yn+o(n), where y is a given solution of the equation ∆(rn∆yn) = bn and s… read more here.
Keywords: asymptotic behavior; difference equations; solutions second; second order ... See more keywords
Spectrum of discrete 2n-th order difference operator with periodic boundary conditions and its applications
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DOI: 10.7494/opmath.2021.41.4.489
Abstract: Let \(n\in\mathbb{N}^{*}\), and \(N\geq n\) be an integer. We study the spectrum of discrete linear \(2n\)-th order eigenvalue problems \[\begin{cases}\sum_{k=0}^{n}(-1)^{k}\Delta^{2k}u(t-k) = \lambda u(t) ,\quad & t\in[1, N]_{\mathbb{Z}}, \\ \Delta^{i}u(-(n-1))=\Delta^{i}u(N-(n-1)),\quad & i\in[0, 2n-1]_{\mathbb{Z}},\end{cases}\] where \(\lambda\) is… read more here.
Keywords: difference operator; order; spectrum discrete; order difference ... See more keywords