On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy
DOI10.1016/j.cam.2018.10.059zbMath1422.65155OpenAlexW2903060317MaRDI QIDQ2423578
Adán J. Serna-Reyes, Jorge Eduardo Macías-Díaz, Ahmed S. Hendy
Publication date: 20 June 2019
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2018.10.059
stabilityconvergencediscrete variational methoddissipative two-dimensional fractional wave equationWeyl space-fractional operators
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) Numerical methods for difference equations (65Q10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Two boundedness and monotonicity preserving methods for a generalized Fisher-KPP equation
- A conservative, positivity preserving scheme for reactive solute transport problems in moving domains
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- A deterministic model for the distribution of the stopping time in a stochastic equation and its numerical solution
- Conservation laws and Hamilton's equations for systems with long-range interaction and memory
- Numerical solution of the sine-Gordon equation
- Positivity-preserving dual time stepping schemes for gas dynamics
- A structure-preserving method for a class of nonlinear dissipative wave equations with Riesz space-fractional derivatives
- Numerical solutions of a damped sine-Gordon equation in two space variables
- Positivity and boundedness preserving schemes for space-time fractional predator-prey reaction-diffusion model
- 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
- Sine-Gordon solitons, kinks and breathers as physical models of nonlinear excitations in living cellular structures
- Positivity-preserving DG and central DG methods for ideal MHD equations
- Simple numerical method to study traveling-wave solutions of a diffusive problem with nonlinear advection and reaction
- Continuous limit of discrete systems with long-range interaction
- Energy-Preserving and Stable Approximations for the Two-Dimensional Shallow Water Equations
- Finite difference discretization of the cubic Schrödinger equation
- A positivity‐preserving nonstandard finite difference scheme for the damped wave equation
- FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- Fractional kinetic equations: solutions and applications
- A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
- Fractional generalization of gradient and Hamiltonian systems
- A linearly implicit conservative scheme for the fractional nonlinear Schrödinger equation with wave operator
- A pseudo energy-invariant method for relativistic wave equations with Riesz space-fractional derivatives