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
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
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
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