On the solution of a Riesz space-fractional nonlinear wave equation through an efficient and energy-invariant scheme
DOI10.1080/00207160.2018.1438605zbMath1499.65412OpenAlexW2790772214MaRDI QIDQ5031783
Publication date: 16 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2018.1438605
Riesz fractional derivativesstability and convergence analysisdissipation-preserving schemespace-fractional wave equationpositive energy invariants
Fractional derivatives and integrals (26A33) 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) Finite difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)
Related Items (16)
Cites Work
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- Novel second-order accurate implicit numerical methods for the Riesz space distributed-order advection-dispersion equations
- A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains
- A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations
- Conservation laws and Hamilton's equations for systems with long-range interaction and memory
- Two energy conserving numerical schemes for the sine-Gordon equation
- Fractional conservation laws in optimal control theory
- Numerical solution of the sine-Gordon equation
- Numerical solution of a nonlinear Klein-Gordon equation
- A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
- The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations
- Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative
- Persistence of nonlinear hysteresis in fractional models of Josephson transmission lines
- Numerical simulation of the nonlinear dynamics of harmonically driven Riesz-fractional extensions of the Fermi-Pasta-Ulam chains
- An explicit dissipation-preserving method for Riesz space-fractional nonlinear wave equations in multiple dimensions
- A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations
- Coupled oscillators with power-law interaction and their fractional dynamics analogues
- Partial fractional derivatives of Riesz type and nonlinear fractional differential equations
- Finite difference schemes for two-dimensional time-space fractional differential equations
- New exact solutions for the sine-Gordon equation in 2+1 dimensions
- A General Fractional Porous Medium Equation
- On a numerical investigation of the time fractional Fokker– Planck equation via local discontinuous Galerkin method
- Continuous limit of discrete systems with long-range interaction
- Finite difference discretization of the cubic Schrödinger equation
- Fourth-order methods for space fractional reaction–diffusion equations with non-smooth data
- The Fisher-KPP Equation with Nonlinear Fractional Diffusion
- A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation
- Fractional generalization of gradient and Hamiltonian systems
- Numerical solution the fractional Bagley–Torvik equation arising in fluid mechanics
- A novel compact ADI scheme for the time-fractional subdiffusion equation in two space dimensions
- A novel attempt for finding comparatively accurate solution for sine‐Gordon equation comprising Riesz space fractional derivative
- Finite-difference schemes for nonlinear wave equation that inherit energy conservation property
- Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations
- A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives
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