A linearly implicit structure-preserving scheme for the fractional sine-Gordon equation based on the IEQ approach
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Publication:2227698
DOI10.1016/j.apnum.2020.10.009zbMath1467.65082arXiv1911.06960OpenAlexW3093394605MaRDI QIDQ2227698
Wenjun Cai, Yayun Fu, Yu Shun Wang
Publication date: 15 February 2021
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1911.06960
Hamiltonian systemstructure preservationinvariant energy quadratizationfractional sine-Gordon equation
KdV equations (Korteweg-de Vries equations) (35Q53) 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) Fractional partial differential equations (35R11)
Related Items (9)
The Hamiltonian structure and fast energy-preserving algorithms for the fractional Klein-Gordon equation ⋮ Fully-discrete energy-preserving scheme for the space-fractional Klein-Gordon equation via Lagrange multiplier type scalar auxiliary variable approach ⋮ An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation ⋮ Barycentric Lagrange interpolation collocation method for solving the sine-Gordon equation ⋮ Arbitrary high-order structure-preserving methods for the quantum Zakharov system ⋮ A high-order structure-preserving difference scheme for generalized fractional Schrödinger equation with wave operator ⋮ Energy dissipation-preserving GSAV-Fourier-Galerkin spectral schemes for space-fractional nonlinear wave equations in multiple dimensions ⋮ High-order schemes for the fractional coupled nonlinear Schrödinger equation ⋮ High-order explicit conservative exponential integrator schemes for fractional Hamiltonian PDEs
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