Stability and Convergence of L1-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation
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Publication:6165522
DOI10.4208/eajam.020521.140522OpenAlexW4313518107MaRDI QIDQ6165522
Unnamed Author, Xiuxiu Lin, Yanping Chen, Yunqing Huang
Publication date: 5 July 2023
Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4208/eajam.020521.140522
Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11) Numerical analysis (65-XX)
Cites Work
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- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- A new difference scheme for the time fractional diffusion equation
- Fractional high order methods for the nonlinear fractional ordinary differential equation
- A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
- Stability and convergence of a new explicit finite-difference approximation for the variable-order nonlinear fractional diffusion equation
- Spectral approximation for elliptic boundary value problems
- Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels
- The accuracy and stability of an implicit solution method for the fractional diffusion equation
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- Mass-conservative Fourier spectral methods for solving the fractional nonlinear Schrödinger equation
- Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
- Numerical solution of non-linear fourth order fractional sub-diffusion wave equation with time delay
- A Jacobi spectral method for solving multidimensional linear Volterra integral equation of the second kind
- Finite difference method for two-dimensional nonlinear time-fractional subdiffusion equation
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- A convergence analysis of the Jacobi spectral-collocation method for fractional integro-differential equations
- Some temporal second order difference schemes for fractional wave equations
- Spectral Methods
- Finite difference/spectral approximations for the fractional cable equation
- Fractional diffusion and wave equations
- Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process
- The fractional diffusion equation
- Fractional stochastic integration and Black–Scholes equation for fractional Brownian model with stochastic volatility
- A new second-order midpoint approximation formula for Riemann–Liouville derivative: algorithm and its application
- A Linearised Three-Point Combined Compact Difference Method with Weighted Approximation for Nonlinear Time Fractional Klein-Gordon Equations
- A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions
- Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
