Generation of a Quadphoton via Seventh‐Order Nonlinear Susceptibility
Sign Up to like & getrecommendations! Published in 2019 at "Annalen der Physik"
DOI: 10.1002/andp.201900072
Abstract: With a wide range of potential applications, the generation of nonclassical multiphoton and number states has attracted renewed interest recently. Here, a correlated quadphoton with seventh‐order nonlinear susceptibility is reported in which all four photons… read more here.
Keywords: nonlinear susceptibility; order; order nonlinear; seventh order ... See more keywords
Seventh‐Order, Variable Step Size, Two‐Step Runge–Kutta–Nyström Pairs for Linear Inhomogeneous Problems
Sign Up to like & getrecommendations! Published in 2025 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.70258
Abstract: This study presents a seventh‐algebraic‐order explicit Numerov‐type numerical method, specifically tailored for the efficient solution of linear inhomogeneous differential equations. To optimize its computational efficiency, a cost‐effective step size adjustment algorithm is integrated. This adaptive… read more here.
Keywords: seventh order; size; step size; step ... See more keywords
Stabilized seventh-order dissipative compact scheme using simultaneous approximation terms
Sign Up to like & getrecommendations! Published in 2019 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-019-2483-7
Abstract: To ensure time stability of a seventh-order dissipative compact finite difference scheme, fourth-order boundary closures are used near domain boundaries previously. However, this would reduce the global convergence rate to fifth-order only. In this paper,… read more here.
Keywords: order dissipative; order; scheme; dissipative compact ... See more keywords
CMMSE2017: On two classes of fourth- and seventh-order vectorial methods with stable behavior
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Chemistry"
DOI: 10.1007/s10910-017-0814-0
Abstract: A family of fourth-order iterative methods without memory, for solving nonlinear systems, and its seventh-order extension, are analyzed. By using complex dynamics tools, their stability and reliability are studied by means of the properties of… read more here.
Keywords: order; two classes; fourth seventh; seventh order ... See more keywords
A resolution-enhanced seventh-order weighted essentially non-oscillatory scheme based on non-polynomial reconstructions for solving hyperbolic conservation laws
Sign Up to like & getrecommendations! Published in 2024 at "Physics of Fluids"
DOI: 10.1063/5.0216835
Abstract: In high-resolution numerical simulations of flows characterized by both multiscale turbulence and discontinuities, the conflict between spectral characteristics and stability becomes increasingly pronounced as the order of accuracy improves. To address this challenge, we proposed… read more here.
Keywords: scheme; weno scheme; seventh order; non oscillatory ... See more keywords
New exact solutions for the seventh-order time fractional Sawada–Kotera–Ito equation via various methods
Sign Up to like & getrecommendations! Published in 2018 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2018.1520407
Abstract: ABSTRACT In this article, we use the modified Riemann Liouville derivative and fractional complex transform for converting the time fractional equation into its corresponding ordinary differential equation. We dealt with exact solutions of the seventh-order… read more here.
Keywords: solutions seventh; time fractional; seventh order; equation ... See more keywords
Two Efficient and Reliable Power-Flow Methods With Seventh Order of Convergence
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Systems Journal"
DOI: 10.1109/jsyst.2020.3004667
Abstract: Developing efficient power-flow (PF) solution techniques competitive with the conventional Newton–Raphson (NR), will be necessary in the future power system paradigm. In this article, two seventh-order PF solution methods based on two classic cubic nonlinear… read more here.
Keywords: power; two efficient; seventh order; power flow ... See more keywords
Broadband and Gain-Enhanced Compressed Higher-Order-Mode Dipoles Using Parasitic Elements and Stubs to Modify Currents
Sign Up to like & getrecommendations! Published in 2024 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2024.3370368
Abstract: A novel trimode broadband high-gain dipole with mode compression is proposed in this communication: first, by introducing bend stubs to realize the modification of the forward and reverse currents of the fifth- and seventh-order modes,… read more here.
Keywords: seventh order; gain; mode; modify currents ... See more keywords
Novel analysis of nonlinear seventh-order fractional Kaup–Kupershmidt equation via the Caputo operator
Sign Up to like & getrecommendations! Published in 2024 at "Boundary Value Problems"
DOI: 10.1186/s13661-024-01895-7
Abstract: In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the fractional nonlinear seventh-order Kaup–Kupershmidt (KK) problem. The physical phenomena that arise in chemistry, physics,… read more here.
Keywords: equation; seventh order; nonlinear seventh; caputo ... See more keywords
Performance of meshless method of lines for the solution of the generalized seventh-order Korteweg-de Vries equation having applications in fluid mechanics
Sign Up to like & getrecommendations! Published in 2023 at "Thermal Science"
DOI: 10.2298/tsci23s1383a
Abstract: In this article, we investigate the execution of a meshless method of line (MMOL) to solve general seventh-order Korteweg-de Vries (KdV7) equations numerically. The suggested meshless technique uses radial basis functions (RBF) for spatial derivatives… read more here.
Keywords: seventh order; order korteweg; solution; meshless ... See more keywords
Construction of General Implicit-Block Method with Three-Points for Solving Seventh-Order Ordinary Differential Equations
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14081605
Abstract: In order to solve general seventh-order ordinary differential equations (ODEs), this study will develop an implicit block method with three points of the form y(7)(ξ)=f(ξ,y(ξ),y′(ξ),y″(ξ),y‴(ξ),y(4)(ξ),y(5)(ξ),y(6)(ξ)) directly. The general implicit block method with Hermite interpolation in… read more here.
Keywords: three points; seventh order; method; order ... See more keywords