A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space-time

DOI10.1016/j.aml.2020.106425zbMath1465.65079OpenAlexW3019648956MaRDI QIDQ2186739

Yanyan Li

Publication date: 9 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106425

zbMATH Keywords

finite-difference schemeHiggs boson equationdissipative numerical methodbubble-like solutions

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with relativity and gravitational theory (35Q75) Finite difference methods for boundary value problems involving PDEs (65N06) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (5)

A dissipation-preserving scheme to approximate radially symmetric solutions of the Higgs boson equation in the de Sitter space-time ⋮ An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe ⋮ An implicit and convergent method for radially symmetric solutions of Higgs' boson equation in the de Sitter space-time ⋮ Design and analysis of a dissipative scheme to solve a generalized multi-dimensional Higgs boson equation in the de Sitter space-time ⋮ An energy-preserving computational approach for the semilinear space fractional damped Klein-Gordon equation with a generalized scalar potential

Cites Work

• A stable, convergent, conservative and linear finite difference scheme for the Cahn-Hilliard equation
• The maximum principle and sign changing solutions of the hyperbolic equation with the Higgs potential
• A conservative parallel difference method for 2-dimension diffusion equation
• Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system
• High-performance implementation of a Runge-Kutta finite-difference scheme for the Higgs boson equation in the de Sitter spacetime
• A linear, symmetric and energy-conservative scheme for the space-fractional Klein-Gordon-Schrödinger equations
• On the Global Solutions of the Higgs Boson Equation
• Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations

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