Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay
DOI10.1007/s11075-023-01624-8OpenAlexW4385953395MaRDI QIDQ6202788
Shanshan Peng, Yan-Min Zhao, Fangfang Cao, Fawang Liu, Meng Li
Publication date: 26 March 2024
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-023-01624-8
nonuniform meshesconvergence and superconvergenceerror splittingnonlinear time-fractional parabolic equations with distributed delay
Numerical computation of solutions to systems of equations (65H10) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) 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) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) 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
- Unnamed Item
- Exact and numerical stability analysis of reaction-diffusion equations with distributed delays
- A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications
- Finite difference methods for the time fractional diffusion equation on non-uniform meshes
- A new difference scheme for the time fractional diffusion equation
- LDG method for reaction-diffusion dynamical systems with time delay
- A finite difference scheme for semilinear space-fractional diffusion equations with time delay
- A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors
- The Galerkin continuous finite element method for delay-differential equation with a variable term
- Analysis of a multistate control problem related to food technology
- Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
- Convergence analysis of the anisotropic FEM for 2D time fractional variable coefficient diffusion equations on graded meshes
- The continuous Galerkin finite element methods for linear neutral delay differential equations
- Fractional Crank-Nicolson-Galerkin finite element methods for nonlinear time fractional parabolic problems with time delay
- Galerkin finite element methods solving 2D initial-boundary value problems of neutral delay-reaction-diffusion equations
- \( \alpha \)-robust \(H^1\)-norm error estimate of nonuniform Alikhanov scheme for fractional sub-diffusion equation
- Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation
- L1 method on nonuniform meshes for linear time-fractional diffusion equations with constant time delay
- Superconvergence analysis of nonconforming finite element method for time-fractional nonlinear parabolic equations on anisotropic meshes
- 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
- Delay-dependent stability criterion of Caputo fractional neural networks with distributed delay
- Convergence and stability of compact finite difference method for nonlinear time fractional reaction-diffusion equations with delay
- A fully discrete difference scheme for a diffusion-wave system
- The superconvergence analysis of an anisotropic finite element
- A linearized compact ADI scheme for semilinear parabolic problems with distributed delay
- On the stability of the $L^2$ projection in $H^1(\Omega)$
- Superconvergence of a Dg Method for First-Order Linear Delay Differential Equations
- A Legendre spectral element method (SEM) based on the modified bases for solving neutral delay distributed‐order fractional damped diffusion‐wave equation
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Numerical Analysis of Nonlinear Subdiffusion Equations
- A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- An Analysis of Delay-Dependent Stability for Ordinary and Partial Differential Equations with Fixed and Distributed Delays
- Stability analysis of Runge-Kutta methods for nonlinear Volterra delay-integro-differential equations
- Global Asymptotic Stability of Traveling Waves in Delayed Reaction-Diffusion Equations
- A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions
- Implicit–explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay
- Conforming and nonconforming VEMs for the fourth-order reaction–subdiffusion equation: a unified framework
- Spectral and Discontinuous Spectral Element Methods for Fractional Delay Equations
- Multiple positive solutions of integral BVPs for high-order nonlinear fractional differential equations with impulses and distributed delays
- Galerkin finite element method for higher dimensional multi-term fractional diffusion equation on non-uniform meshes
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
- General Linear Methods for Volterra Integro-differential Equations with Memory
- Galerkin Finite Element Methods for Parabolic Problems
- Uniqueness of fast travelling fronts in reaction–diffusion equations with delay
- Stability in the numerical solution of linear parabolic equations with a delay term
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