Error analysis of a fully discrete scheme for time fractional Schrödinger equation with initial singularity
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Publication:5030628
DOI10.1080/00207160.2019.1639677zbMath1480.65304OpenAlexW2956037946MaRDI QIDQ5030628
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Publication date: 17 February 2022
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2019.1639677
Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
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Analysis of Legendre pseudospectral approximations for nonlinear time fractional diffusion-wave equations, Optimal error analysis of the alikhanov formula for a time-fractional Schrödinger equation
Cites Work
- Unnamed Item
- A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system
- Moving finite element methods for time fractional partial differential equations
- Numerical algorithm based on an implicit fully discrete local discontinuous Galerkin method for the fractional diffusion-wave equation
- Galerkin finite element method for nonlinear fractional Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- A fitted scheme for a Caputo initial-boundary value problem
- A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations
- Fractional Schrödinger equations with potential and optimal controls
- Error analysis of a second-order method on fitted meshes for a time-fractional diffusion problem
- A relaxation-type Galerkin FEM for nonlinear fractional Schrödinger equations
- A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Generalized fractional Schrödinger equation with space-time fractional derivatives
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- Convergence analysis of the Modified Craig–Sneyd scheme for two-dimensional convection–diffusion equations with nonsmooth initial data
- Time fractional Schrödinger equation
- Fast Finite Difference Schemes for Time-Fractional Diffusion Equations with a Weak Singularity at Initial Time
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- Error analysis of the L1 method on graded and uniform meshes for a fractional-derivative problem in two and three dimensions
- Spectral Methods
