Nonconforming quadrilateral finite element method for nonlinear Kirchhoff‐type equation with damping
Sign Up to like & getrecommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6065
Abstract: Nonconforming quadrilateral EQ1rot finite element method (FEM) of nonlinear Kirchhoff‐type equation with damping is studied on anisotropic meshes. Based on the property of the nonlocal term of this equation, unconditional optimal error estimates of O(h)… read more here.
Keywords: kirchhoff type; equation; nonconforming quadrilateral; type equation ... See more keywords
A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation
Sign Up to like & getrecommendations! Published in 2020 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2020.07.025
Abstract: Abstract This paper is mainly concerned with developing and establishing the reduced-order extrapolated format about the unknown coefficient vectors in numerical solutions to the finite element (FE) method for the hyperbolic type equation. To this… read more here.
Keywords: reduced order; hyperbolic type; order extrapolated; type equation ... See more keywords
Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces
Sign Up to like & getrecommendations! Published in 2019 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2018.12.001
Abstract: Abstract In this paper, we prove the existence of a renormalized solution for the quasilinear Riccati-type equation with low integrability-measure data in Lorentz spaces. The result is established in both regular and singular cases. Our… read more here.
Keywords: riccati type; existence renormalized; solution quasilinear; quasilinear riccati ... See more keywords
Non-uniform continuity on initial data for a Camassa-Holm-type equation in Besov space
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124621
Abstract: Abstract In this paper, with special choices of a sequence of low frequency and high frequency initial data g n , f n , based on the established existence estimates, by showing that the difference… read more here.
Keywords: holm type; camassa holm; initial data; non uniform ... See more keywords
Discrete Langevin-type equation for p-order persistent time series and procedure of its reconstruction.
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DOI: 10.1063/5.0048598
Abstract: The stochastic discrete Langevin-type equation, which can describe p-order persistent processes, was introduced. The procedure of reconstruction of the equation from time series was proposed and tested on synthetic data. The approach was applied to… read more here.
Keywords: order; type equation; langevin type; discrete langevin ... See more keywords
Some properties of solutions for a sixth-order Cahn–Hilliard type equation with inertial term
Sign Up to like & getrecommendations! Published in 2018 at "Applicable Analysis"
DOI: 10.1080/00036811.2017.1364367
Abstract: ABSTRACT In this paper, we study a Cahn–Hilliard type equation with inertial term, which arises in dynamics of phase transitions in ternary oil–water–surfactant systems. We use regularity estimates for the semigroups and a classical existence… read more here.
Keywords: order; equation inertial; type equation; hilliard type ... See more keywords
One Method for the Nonlocal Stabilization of a Burgers-Type Equation by an Impulse Control
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DOI: 10.1134/s0012266119050100
Abstract: We study the nonlocal stabilization problem for a hydrodynamic type equation (more precisely, the differentiated Burgers equation) with periodic boundary conditions. The method is based on results in earlier papers, where nonlocal stabilization theory was… read more here.
Keywords: stabilization; equation impulse; one method; nonlocal stabilization ... See more keywords
Proper Generalized Decomposition Method for Solving Fisher-Type Equation and Heat Equation
Sign Up to like & getrecommendations! Published in 2018 at "Mathematical Models and Computer Simulations"
DOI: 10.1134/s2070048218010039
Abstract: A model reduction technique—the Proper Generalized Decomposition (PGD) for solving time dependent and multidimensional parameters is reviewed and applied to both the Fisher-type equations and the heat equation. Space-time discretization and separated representation technique for… read more here.
Keywords: type equation; proper generalized; fisher type; heat equation ... See more keywords
Breathers, rogue waves and semi-rational solutions for a Heisenberg ferromagnet-type equation
Sign Up to like & getrecommendations! Published in 2023 at "Modern Physics Letters B"
DOI: 10.1142/s0217984923500537
Abstract: The Kuralay equation, as a Heisenberg ferromagnet-type equation, is of great significance for describing nonlinear phenomena in magnets. For the Kuralay-IIA equation, based on the constructed [Formula: see text]-fold Darboux transformation, we derive its one-fold… read more here.
Keywords: equation; heisenberg ferromagnet; ferromagnet type; rational solutions ... See more keywords
Numerical approximation of time-fractional Burgers-type equation
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DOI: 10.1186/s13662-020-02578-0
Abstract: In this work, we analyze and test a local discontinuous Galerkin method for solving the Burgers-type equation. The proposed numerical method, which is high-order accurate, is based on a finite difference scheme in time and… read more here.
Keywords: numerical approximation; approximation time; burgers type; type equation ... See more keywords
A new blow-up criterion for the N – abc family of Camassa-Holm type equation with both dissipation and dispersion
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DOI: 10.1515/math-2020-0012
Abstract: Abstract In this paper, we investigate the Cauchy problem for the N – abc family of Camassa-Holm type equation with both dissipation and dispersion. Furthermore, we establish the blow-up result of the positive solutions in… read more here.
Keywords: holm type; abc family; camassa holm; type equation ... See more keywords