Convergence and superconvergence analysis for nonlinear delay reaction–diffusion system with nonconforming finite element
From MaRDI portal
Publication:6090442
DOI10.1002/num.22917WikidataQ115397160 ScholiaQ115397160MaRDI QIDQ6090442
Meng Li, Y. H. Shi, Shanshan Peng, Fen-Ling Wang, Yan-Min Zhao
Publication date: 16 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
superconvergencefast algorithmnonconforming finite elementfractional Grönwall inequalitynonlinear delay reaction-diffusion system
Reaction-diffusion equations (35K57) Fractional derivatives and integrals (26A33) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) 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) Numerical interpolation (65D05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11) PDEs on time scales (35R07)
Cites Work
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- Quasi-Wilson nonconforming element approximation for nonlinear dual phase lagging heat conduction equations
- Superconvergence analysis of nonconforming finite element method for two-dimensional time fractional diffusion equations
- A two-grid finite element approximation for a nonlinear time-fractional Cable equation
- 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
- Stabilization and control of fractional order systems: a sliding mode approach
- Two mixed finite element methods for time-fractional diffusion equations
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain
- A posteriori error estimates for fully discrete finite element method for generalized diffusion equation with delay
- Novel stability condition for delayed fractional-order composite systems based on vector Lyapunov function
- A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps
- Fast L2-1\(_\sigma\) Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives
- A novel discrete fractional Grönwall-type inequality and its application in pointwise-in-time error estimates
- A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient
- A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations
- Nonuniform Alikhanov linearized Galerkin finite element methods for nonlinear time-fractional parabolic equations
- A second-order fast compact scheme with unequal time-steps for subdiffusion problems
- An implicit difference scheme for time-fractional diffusion equations with a time-invariant type variable order
- A high-order L2 type difference scheme for the time-fractional diffusion equation
- Nonconforming virtual element method for the time fractional reaction-subdiffusion equation with non-smooth data
- Convergence and superconvergence analysis of finite element methods for the time fractional diffusion equation
- Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction
- Convergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay
- Nonconforming quasi-Wilson finite element method for 2D multi-term time fractional diffusion-wave equation on regular and anisotropic meshes
- A fast energy conserving finite element method for the nonlinear fractional Schrödinger equation with wave operator
- A note on compact finite difference method for reaction-diffusion equations with delay
- Superconvergence analysis of finite element method for time-fractional thermistor problem
- A fully discrete difference scheme for a diffusion-wave system
- Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong?
- Spectral approximations to the fractional integral and derivative
- Stability of Neutral Systems with Commensurate Delays and Poles Asymptotic to the Imaginary Axis
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- A Space-Time Spectral Method for the Time Fractional Diffusion Equation
- Vibrational control of nonlinear time lag systems with bounded delay: averaging theory, stabilizability, and transient behavior
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- A Posteriori Error Analysis for Crank--Nicolson--Galerkin Type Methods for Reaction-Diffusion Equations with Delay
- Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- 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
- Robust stability analysis for fractional‐order systems with time delay based on finite spectrum assignment
- A Crank--Nicolson ADI Spectral Method for a Two-Dimensional Riesz Space Fractional Nonlinear Reaction-Diffusion Equation
- Stability of time-delay systems
