A Class of Analytic Solutions for Verification and Convergence Analysis of Linear and Nonlinear Fluid-Structure Interaction Algorithms
Sign Up to like & getrecommendations! Published in 2020 at "Computer methods in applied mechanics and engineering"
DOI: 10.1016/j.cma.2020.112841
Abstract: Fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of applicationspecific… read more here.
Keywords: convergence analysis; verification; analytic solutions; class analytic ... See more keywords
Evolution of analytic solutions to the (3+1)-dimensional generalized nonlinear Schrödinger equation with variable coefficients and optical lattice
Sign Up to like & getrecommendations! Published in 2017 at "Optik"
DOI: 10.1016/j.ijleo.2017.08.013
Abstract: Abstract When laser pulses propagate in an inhomogeneous nonlinear medium, we theoretically investigate the evolution of laser pulses by analytically solving the (3 + 1)-dimensional generalized nonlinear Schrodinger equation with variable coefficients and optical lattice. A series… read more here.
Keywords: evolution; analytic solutions; coefficient; optical lattice ... See more keywords
Analytic solutions of nonlinear elliptic equations on rectangular tori
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.05.039
Abstract: In this paper, we consider the nonlinear elliptic equations on rectangular tori. Using methods in the study of KAM theory and Anderson localization, we prove that these equations admit many analytic solutions. read more here.
Keywords: analytic solutions; equations rectangular; rectangular tori; solutions nonlinear ... See more keywords
Analytic solutions of the Weiss mean field equation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Magnetism and Magnetic Materials"
DOI: 10.1016/j.jmmm.2020.167179
Abstract: Abstract Analytic solutions of the Weiss mean field equation are obtained using an approximant of the inverse Langevin function. These solutions provide temperature dependencies of the magnetization and the magnetic susceptibility typical of the classical… read more here.
Keywords: weiss mean; field equation; mean field; analytic solutions ... See more keywords
Complete analytic solutions for convection-diffusion-reaction-source equations without using an inverse Laplace transform
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DOI: 10.1038/s41598-020-63982-w
Abstract: Transient mass-transfer phenomena occurring in natural and engineered systems consist of convection, diffusion, and reaction processes. The coupled phenomena can be described by using the unsteady convection-diffusion-reaction (CDR) equation, which is classified in mathematics as… read more here.
Keywords: convection diffusion; diffusion; diffusion reaction; analytic solutions ... See more keywords
Analytic solutions of the variable force effect in lattice Boltzmann methods for Poiseuille flows
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DOI: 10.1063/5.0061101
Abstract: Various external forcing formulations of the lattice Boltzmann method (LBM) are analyzed by deriving the analytic solutions of the fully developed Poiseuille flows with and without the porous wall. For uniform driving force, all the… read more here.
Keywords: lbm; poiseuille flows; analytic solutions; lattice boltzmann ... See more keywords
Analytic solutions for displacements in quantum-wire structures
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Applied Physics"
DOI: 10.1063/5.0134197
Abstract: Quantum wires (QWs) and quantum dots (QDs) have been widely applied in semiconductor devices due to their excellent mechanical, electronic, and optical properties. Faux and Downes [J. Appl. Phys. 82 (1997) 3754–3762] have obtained the… read more here.
Keywords: quantum wire; analytic solutions; wire structures; displacements quantum ... See more keywords
Analytic solutions for delocalized heat transport
Sign Up to like & getrecommendations! Published in 2021 at "Plasma Physics and Controlled Fusion"
DOI: 10.1088/1361-6587/abf766
Abstract: Comprehensive understanding of nonlocal transport is mandatory for many applications of laser–plasma interaction physics, such as inertial confinement fusion and modeling of astrophysical phenomena in the laboratory. Theoretical description is important for guiding numerical simulations… read more here.
Keywords: transport; analytic solutions; physics; solutions delocalized ... See more keywords
Nonlinear Analytic Solution of Eulerian Beam-Wave Interaction Theory Considering Harmonic Interaction of Traveling-Wave Tube Amplifiers
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Microwave Theory and Techniques"
DOI: 10.1109/tmtt.2018.2875120
Abstract: In this paper, a novel Eulerian nonlinear beam-wave interaction (BWI) theory considering harmonic interaction of a helix traveling-wave tube (TWT) is developed. Derived from this Eulerian model, the novel Eulerian nonlinear analytic solutions (the fourth-order… read more here.
Keywords: eulerian nonlinear; analytic solutions; theory; nonlinear analytic ... See more keywords
Numeric-Analytic Solutions for Nonlinear Oscillators via the Modified Multi-Stage Decomposition Method
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DOI: 10.3390/math7060550
Abstract: This work deals with a new modified version of the Adomian-Rach decomposition method (MDM). The MDM is based on combining a series solution and decomposition method for solving nonlinear differential equations with Adomian polynomials for… read more here.
Keywords: nonlinear oscillators; analytic solutions; method; numeric analytic ... See more keywords