The global analysis on the spectral collocation method for time fractional Schrödinger equation (Q2284309)

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English	The global analysis on the spectral collocation method for time fractional Schrödinger equation	scientific article

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instance of

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title

The global analysis on the spectral collocation method for time fractional Schrödinger equation (English)

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Applied Mathematics and Computation

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publication date

14 January 2020

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zbMATH Keywords

time fractional Schrödinger equation

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Caputo fractional derivative

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z-transform

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spectral collocation method

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2019.124689

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cites work

A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations

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Spectral Methods

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A fast numerical method for two-dimensional Riesz space fractional diffusion equations on a convex bounded region

0 references

Space-time fractional Schrödinger equation with time-independent potentials

0 references

Some solutions to the space fractional Schrödinger equation using momentum representation method

0 references

A novel unstructured mesh finite element method for solving the time-space fractional wave equation on a two-dimensional irregular convex domain

0 references

Unstructured mesh finite difference/finite element method for the 2D time-space Riesz fractional diffusion equation on irregular convex domains

0 references

Explicit methods for fractional differential equations and their stability properties

0 references

On the fractional Hamilton and Lagrange mechanics

0 references

Particle Physics and the Schrödinger Equation

0 references

Some physical applications of fractional Schrödinger equation

0 references

A stable numerical method for multidimensional time fractional Schrödinger equations

0 references

The global solution for a class of systems of fractional nonlinear Schrödinger equations with periodic boundary condition

0 references

Nonlinear fractional Schrödinger equations in one dimension

0 references

Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

0 references

A novel finite volume method for the Riesz space distributed-order advection-diffusion equation

0 references

A novel finite volume method for the Riesz space distributed-order diffusion equation

0 references

Time-fractional diffusion equation for signal smoothing

0 references

Numerical solution of the space fractional Fokker-Planck equation.

0 references

Stability and convergence of the difference methods for the space-time fractional advection-diffusion equation

0 references

Numerical methods for solving the multi-term time-fractional wave-diffusion equation

0 references

A new fractional finite volume method for solving the fractional diffusion equation

0 references

Unstructured-mesh Galerkin finite element method for the two-dimensional multi-term time-space fractional Bloch-Torrey equations on irregular convex domains

0 references

Q5699297

0 references

Discretized Fractional Calculus

0 references

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

0 references

Hamiltonian formulation of classical fields within Riemann–Liouville fractional derivatives

0 references

Time fractional Schrödinger equation

0 references

The Global Behavior of Finite Difference-Spatial Spectral Collocation Methods for a Partial Integro-differential Equation with a Weakly Singular Kernel

0 references

A conservative linearized difference scheme for the nonlinear fractional Schrödinger equation

0 references

Crank-Nicolson difference scheme for the coupled nonlinear Schrödinger equations with the Riesz space fractional derivative

0 references

Generalized fractional Schrödinger equation with space-time fractional derivatives

0 references

A numerical study based on an implicit fully discrete local discontinuous Galerkin method for the time-fractional coupled Schrödinger system

0 references

Q3412560

0 references

A novel compact numerical method for solving the two-dimensional non-linear fractional reaction-subdiffusion equation

0 references

A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem

0 references

The numerical simulation of the tempered fractional Black-Scholes equation for European double barrier option

0 references

Numerical solution of the time fractional Black-Scholes model governing European options

0 references

Analytical solution and nonconforming finite element approximation for the 2D multi-term fractional subdiffusion equation

0 references

Numerical solution of the time fractional reaction-diffusion equation with a moving boundary

0 references

New Solution and Analytical Techniques of the Implicit Numerical Method for the Anomalous Subdiffusion Equation

0 references

Numerical Methods for the Variable-Order Fractional Advection-Diffusion Equation with a Nonlinear Source Term

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Identifiers

zbMATH Open document ID

1433.65248

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DOI

10.1016/j.amc.2019.124689

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:2284309