Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain
From MaRDI portal
Publication:2661443
DOI10.1016/j.matcom.2021.01.021OpenAlexW3127329768MaRDI QIDQ2661443
Publication date: 7 April 2021
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2021.01.021
fractional wave equationspectral-Galerkin methodtime splitting schemescalar auxiliary variablemapped Chebyshev function
Related Items (4)
Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method ⋮ Fully decoupled, linear and unconditional stability implicit/explicit scheme for the natural convection problem ⋮ Unconditional stability of first and second orders implicit/explicit schemes for the natural convection equations ⋮ Barycentric interpolation collocation algorithm to solve fractional differential equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation
- Numerical solution of the sine-Gordon equation
- Numerical solution of a nonlinear Klein-Gordon equation
- A numerically efficient dissipation-preserving implicit method for a nonlinear multidimensional fractional wave equation
- A novel and accurate finite difference method for the fractional Laplacian and the fractional Poisson problem
- A conservative difference scheme for the Riesz space-fractional sine-Gordon equation
- Numerical approximation of the integral fractional Laplacian
- Laguerre functions and their applications to tempered fractional differential equations on infinite intervals
- A dissipation-preserving finite element method for nonlinear fractional wave equations on irregular convex domains
- Compact difference scheme for a class of fractional-in-space nonlinear damped wave equations in two space dimensions
- A linearly implicit structure-preserving scheme for the Camassa-Holm equation based on multiple scalar auxiliary variables approach
- An explicit structure-preserving algorithm for the nonlinear fractional Hamiltonian wave equation
- Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations
- Stability and error estimates of the SAV Fourier-spectral method for the phase field crystal equation
- Dissipation-preserving Galerkin-Legendre spectral methods for two-dimensional fractional nonlinear wave equations
- A new fourth-order energy dissipative difference method for high-dimensional nonlinear fractional generalized wave equations
- Fast exponential time differencing/spectral-Galerkin method for the nonlinear fractional Ginzburg-Landau equation with fractional Laplacian in unbounded domain
- What is the fractional Laplacian? A comparative review with new results
- An efficient dissipation-preserving Legendre-Galerkin spectral method for the Higgs boson equation in the de Sitter spacetime universe
- A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations
- Well-posedness of semilinear strongly damped wave equations with fractional diffusion operators and \(C^0\) potentials on arbitrary bounded domains
- Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains
- Maximum Principle Preserving Exponential Time Differencing Schemes for the Nonlocal Allen--Cahn Equation
- Convergence and Error Analysis for the Scalar Auxiliary Variable (SAV) Schemes to Gradient Flows
- The Exponential Scalar Auxiliary Variable (E-SAV) Approach for Phase Field Models and Its Explicit Computing
- Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains
- Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains
- Rational Spectral Methods for PDEs Involving Fractional Laplacian in Unbounded Domains
- Hermite Spectral Methods for Fractional PDEs in Unbounded Domains
- Energy stability and convergence of SAV block-centered finite difference method for gradient flows
- A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives
This page was built for publication: Two efficient spectral methods for the nonlinear fractional wave equation in unbounded domain
