High order WSGL difference operators combined with Sinc-Galerkin method for time fractional Schrödinger equation
DOI10.1080/00207160.2019.1692200zbMath1492.65284OpenAlexW2987773255MaRDI QIDQ5031167
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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/10.1080/00207160.2019.1692200
stabilitysinc-Galerkin methodtime-fractional Schrödinger equation\(\mathscr{Z}\)-transformWSGL difference operator
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)
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Cites Work
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- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
- Approximate solutions to time-fractional Schrödinger equation via homotopy analysis method
- A stable numerical method for multidimensional time fractional Schrödinger equations
- A compact split-step finite difference method for solving the nonlinear Schrödinger equations with constant and variable coefficients
- Fractional-time Schrödinger equation: fractional dynamics on a comb
- High-order local discontinuous Galerkin method combined with WSGD-approximation for a fractional subdiffusion equation
- A Bohmian approach to the non-Markovian non-linear Schrödinger-Langevin equation
- A high-order compact finite difference scheme for the fractional sub-diffusion equation
- Explicit methods for fractional differential equations and their stability properties
- Recent developments of the Sinc numerical methods.
- Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations
- The sinc-collocation and sinc-Galerkin methods for solving the two-dimensional Schrödinger equation with nonhomogeneous boundary conditions
- Finite difference approximations for fractional advection-dispersion flow equations
- The sinc-Galerkin method for solving Troesch's problem
- Quasi-compact finite difference schemes for space fractional diffusion equations
- On the sinc-Galerkin method for triharmonic boundary-value problems
- Fast and stable evaluation of the exact absorbing boundary condition for the semi-discrete linear Schrödinger equation in unbounded domains
- Exact solutions and numerical study of time fractional Burgers' equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- 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
- The use of Sinc-collocation method for solving Falkner-Skan boundary-layer equation
- Discretized Fractional Calculus
- Numerical Methods Based on Whittaker Cardinal, or Sinc Functions
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Time fractional Schrödinger equation
- The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-differential Equation with a Weakly Singular Kernel
- On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross–Pitaevskii equations
- A class of second order difference approximations for solving space fractional diffusion equations
- Numerical Solution of the Nonlocal Diffusion Equation on the Real Line
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