An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe

DOI10.1016/j.apnum.2020.10.013zbMath1458.35411OpenAlexW3093720646MaRDI QIDQ2227693

Mahmoud A. Zaky, Ahmed S. Hendy

Publication date: 15 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.10.013

zbMATH Keywords

energy dissipationCrank-Nicolson schemede Sitter spacetimeHiggs boson equationLegendre-Galerkin spectral method

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Gravitational energy and conservation laws; groups of motions (83C40) PDEs in connection with relativity and gravitational theory (35Q75) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Exact solutions to problems in general relativity and gravitational theory (83C15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Equations of motion in general relativity and gravitational theory (83C10)

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