Numerical simulation for a time-fractional coupled nonlinear Schrödinger equations
DOI10.1080/00207160.2020.1814261zbMath1480.65283OpenAlexW3080273532MaRDI QIDQ5031322
Publication date: 18 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2020.1814261
stabilityCaputo derivativeradial basis functions (RBFs) approximationstime-fractional coupled nonlinear Schrödinger equations (TFCNLS)
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) NLS equations (nonlinear Schrödinger equations) (35Q55) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system
- Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative
- An implicit RBF meshless approach for time fractional diffusion equations
- Multiquadric and its shape parameter -- a numerical investigation of error estimate, condition number, and round-off error by arbitrary precision computation
- On the solution of the fractional nonlinear Schrödinger equation
- Interpolation of scattered data: distance matrices and conditionally positive definite functions
- RBFs approximation method for time fractional partial differential equations
- Fractional diffusion equations by the Kansa method
- Implicit finite difference approximation for time fractional diffusion equations
- Convergence order estimates of meshless collocation methods using radial basis functions
- Miscellaneous error bounds for multiquadric and related interpolators
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional quantum mechanics and Lévy path integrals
- A semi-analytical collocation Trefftz scheme for solving multi-term time fractional diffusion-wave equations
- Time fractional quantum mechanics
- A robust kernel-based solver for variable-order time fractional PDEs under 2D/3D irregular domains
- Fractional differential equations and the Schrödinger equation
- Multiquadrics -- a scattered data approximation scheme with applications to computational fluid-dynamics. II: Solutions to parabolic, hyperbolic and elliptic partial differential equations
- Error estimates and condition numbers for radial basis function interpolation
- Boundary particle method for Laplace transformed time fractional diffusion equations
- Analysis of a symplectic difference scheme for a coupled nonlinear Schrödinger system
- The parameter \(R^ 2\) in multiquadric interpolation
- A meshless method for solving the time fractional advection-diffusion equation with variable coefficients
- The meshless Kansa method for time-fractional higher order partial differential equations with constant and variable coefficients
- Crank-Nicolson finite difference scheme for the Rosenau-Burgers equation
- Linearized Crank-Nicolson scheme for the nonlinear time-space fractional Schrödinger equations
- Fractional optical solitons
- Solution of two-dimensional modified anomalous fractional sub-diffusion equation via radial basis functions (RBF) meshless method
- A fully discrete difference scheme for a diffusion-wave system
- The use of a meshless technique based on collocation and radial basis functions for solving the time fractional nonlinear Schrödinger equation arising in quantum mechanics
- An explicit and numerical solutions of the fractional KdV equation
- Finite difference approximations for two-sided space-fractional partial differential equations
- Some physical applications of fractional Schrödinger equation
- Multivariate Interpolation and Conditionally Positive Definite Functions. II
- Time fractional Schrödinger equation
- Collocation method for fractional quantum mechanics
- Finite difference method for time-space-fractional Schrödinger equation
- Scattered Data Approximation
This page was built for publication: Numerical simulation for a time-fractional coupled nonlinear Schrödinger equations
