Two-grid finite element method for time-fractional nonlinear Schrödinger equation
DOI10.4208/JCM.2302-M2022-0033MaRDI QIDQ6617016
Jianwei Zhou, Yanping Chen, Hanzhang Hu
Publication date: 9 October 2024
Published in: Journal of Computational Mathematics (Search for Journal in Brave)
Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- A new difference scheme for the time fractional diffusion equation
- A fully spectral collocation approximation for multi-dimensional fractional Schrödinger equations
- Fractional-time Schrödinger equation: fractional dynamics on a comb
- Error estimates of spectral Legendre-Galerkin methods for the fourth-order equation in one dimension
- A fractional Schrödinger equation and its solution
- A parallel-in-time iterative algorithm for Volterra partial integro-differential problems with weakly singular kernel
- Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations
- MHD peristaltic flow of fractional Jeffrey model through porous medium
- Two-grid method for two-dimensional nonlinear Schrödinger equation by mixed finite element method
- Two-grid method for miscible displacement problem by mixed finite element methods and finite element method of characteristics
- Analysis of finite element two-grid algorithms for two-dimensional nonlinear Schrödinger equation with wave operator
- A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps
- Two second-order and linear numerical schemes for the multi-dimensional nonlinear time-fractional Schrödinger equation
- Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data
- The well-posedness for fractional nonlinear Schrödinger equations
- Two-grid method for the two-dimensional time-dependent Schrödinger equation by the finite element method
- An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order
- Superconvergence analysis for nonlinear Schrödinger equation with two-grid finite element method
- Numerical solution of two-dimensional nonlinear Schrödinger equation using a new two-grid finite element method
- Finite difference/spectral approximations for the time-fractional diffusion equation
- Numerical solution of a miscible displacement problem with dispersion term using a two-grid mixed finite element approach
- A fully discrete difference scheme for a diffusion-wave system
- An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data
- Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Analysis of two-grid methods for reaction-diffusion equations by expanded mixed finite element methods
- A Novel Two-Grid Method for Semilinear Elliptic Equations
- A Two-Grid Finite Difference Scheme for Nonlinear Parabolic Equations
- A two-grid method for expanded mixed finite-element solution of semilinear reaction-diffusion equations
- Two‐grid method for two‐dimensional nonlinear Schrödinger equation by finite element method
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- Two-Grid Discretization Techniques for Linear and Nonlinear PDE<scp>s</scp>
- Time fractional Schrödinger equation
- Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations: A Second-Order Scheme
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- Numerical Analysis of an Optimal Control Problem Governed by the Stationary Navier-Stokes Equations with Global Velocity-Constrained
- Two-Grid Method for Miscible Displacement Problem by Mixed Finite Element Methods and Mixed Finite Element Method of Characteristics
- The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation
- A fast implicit difference scheme for solving the generalized time–space fractional diffusion equations with variable coefficients
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