Fractional Crank-Nicolson-Galerkin finite element methods for nonlinear time fractional parabolic problems with time delay
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Publication:2025839
DOI10.1155/2021/9981211zbMath1472.65123arXiv2109.03994OpenAlexW3151330422MaRDI QIDQ2025839
Yuanling Niu, Mianfu She, Li-Li Li
Publication date: 17 May 2021
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.03994
Nonlinear parabolic equations (35K55) 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) 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)
Related Items (3)
Corrigendum to: ``Fractional Crank-Nicolson-Galerkin finite element methods for nonlinear time fractional parabolic problems with time delay ⋮ Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay ⋮ Interpolating stabilized element free Galerkin method for neutral delay fractional damped diffusion-wave equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High order schemes for the tempered fractional diffusion equations
- Compact difference schemes for the modified anomalous fractional sub-diffusion equation and the fractional diffusion-wave equation
- Crank-Nicolson method for the fractional diffusion equation with the Riesz fractional derivative
- A parallel Crank-Nicolson finite difference method for time-fractional parabolic equation
- Error estimate for the numerical solution of fractional reaction-subdiffusion process based on a meshless method
- Galerkin finite element methods for parabolic problems
- Implicit difference approximation for the time fractional diffusion equation
- Fractional high order methods for the nonlinear fractional ordinary differential equation
- Fractional diffusion equations by the Kansa method
- Implicit finite difference approximation for time fractional diffusion equations
- Application of fractional calculus to ultrasonic wave propagation in human cancellous bone
- Convolution quadrature and discretized operational calculus. I
- Fractals and fractional calculus in continuum mechanics
- Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations
- Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations
- Long time numerical behaviors of fractional pantograph equations
- Time second-order finite difference/finite element algorithm for nonlinear time-fractional diffusion problem with fourth-order derivative term
- Finite difference/finite element method for a nonlinear time-fractional fourth-order reaction-diffusion problem
- A novel discrete Gronwall inequality in the analysis of difference schemes for time-fractional multi-delayed diffusion equations
- Uniform convergence of compact and BDF methods for the space fractional semilinear delay reaction-diffusion equations
- 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
- Exact solutions and numerical study of time fractional Burgers' equations
- Compact Crank-Nicolson schemes for a class of fractional Cattaneo equation in inhomogeneous medium
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A high order schema for the numerical solution of the fractional ordinary differential equations
- Weighted average finite difference methods for fractional diffusion equations
- Computational methods for delay parabolic and time-fractional partial differential equations
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
- An analysis of the Crank–Nicolson method for subdiffusion
- Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations
- Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations
- Numerical Analysis of Nonlinear Subdiffusion Equations
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations
- FINITE DIFFERENCE METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS
- Convergence and stability estimates in difference setting for time‐fractional parabolic equations with functional delay
- Optimal Error Estimates in Numerical Solution of Time Fractional Schrödinger Equations on Unbounded Domains
- A Novel Numerical Approach to Time-Fractional Parabolic Equations with Nonsmooth Solutions
- Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems
- Fractional Crank–Nicolson–Galerkin finite element scheme for the time‐fractional nonlinear diffusion equation
- 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
- Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay
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