Convergence analysis of an <i>L</i>1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations (Q5031277)

scientific article; zbMATH DE number 7476614

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English	Convergence analysis of an <i>L</i>1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations	scientific article; zbMATH DE number 7476614

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instance of

scholarly article

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title

Convergence analysis of an <i>L</i>1-continuous Galerkin method for nonlinear time-space fractional Schrödinger equations (English)

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published in

International Journal of Computer Mathematics

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publication date

18 February 2022

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zbMATH Keywords

spectral approximation of Galerkin form

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$L1$-type scheme

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discrete Grönwall inequality

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time-space fractional Schrödinger equation

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theoretical analysis

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MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00207160.2020.1822994

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cites work

Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation

0 references

A priori estimates for solutions of boundary value problems for fractional-order equations

0 references

A new difference scheme for the time fractional diffusion equation

0 references

An improved collocation method for multi-dimensional space-time variable-order fractional Schrödinger equations

0 references

Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations

0 references

Numerical simulation of multi-dimensional distributed-order generalized Schrödinger equations

0 references

Dissipativity of semilinear time fractional subdiffusion equations and numerical approximations

0 references

Variational solution of fractional advection dispersion equations on bounded domains in ℝd

0 references

An unstructured mesh control volume method for two-dimensional space fractional diffusion equations with variable coefficients on convex domains

0 references

Exponential Jacobi-Galerkin method and its applications to multidimensional problems in unbounded domains

0 references

A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations

0 references

Global consistency analysis of L1-Galerkin spectral schemes for coupled nonlinear space-time fractional Schrödinger equations

0 references

On the solution of hyperbolic two-dimensional fractional systems via discrete variational schemes of high order of accuracy

0 references

A second order finite difference-spectral method for space fractional diffusion equations

0 references

A fourth-order implicit-explicit scheme for the space fractional nonlinear Schrödinger equations

0 references

Fractional pseudo-spectral methods for distributed-order fractional PDEs

0 references

Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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Galerkin finite element method for nonlinear fractional Schrödinger equations

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Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

0 references

Convergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay

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The locally extrapolated exponential splitting scheme for multi-dimensional nonlinear space-fractional Schrödinger equations

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

0 references

Finite difference/spectral approximations for the time-fractional diffusion equation

0 references

Finite difference method for time-space-fractional Schrödinger equation

0 references

A compact fourth-order in space energy-preserving method for Riesz space-fractional nonlinear wave equations

0 references

Time fractional Schrödinger equation

0 references

Q4250595

0 references

Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials

0 references

Spectral Methods

0 references

Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation

0 references

Generalized finite difference/spectral Galerkin approximations for the time-fractional telegraph equation

0 references

Generalized fractional Schrödinger equation with space-time fractional derivatives

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A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions

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Existence, uniqueness and numerical analysis of solutions of tempered fractional boundary value problems

0 references

Semi-implicit Galerkin-Legendre spectral schemes for nonlinear time-space fractional diffusion-reaction equations with smooth and nonsmooth solutions

0 references

A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation

0 references

Error estimates of spectral Galerkin methods for a linear fractional reaction-diffusion equation

0 references

A Crank-Nicolson ADI Galerkin-Legendre spectral method for the two-dimensional Riesz space distributed-order advection-diffusion equation

0 references

Galerkin-Legendre spectral schemes for nonlinear space fractional Schrödinger equation

0 references

Efficient Numerical Computation of Time-Fractional Nonlinear Schrödinger Equations in Unbounded Domain

0 references

A Legendre spectral method on graded meshes for the two-dimensional multi-term time-fractional diffusion equation with non-smooth solutions

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Identifiers

zbMATH Open document ID

1480.65275

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DOI

10.1080/00207160.2020.1822994

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5031277