Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction–diffusion equation
DOI10.1080/00207160.2023.2167517zbMath1524.65399MaRDI QIDQ6106726
Wan-Rong Cao, Hong Sun, Ming Zhang
Publication date: 3 July 2023
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Fractional derivatives and integrals (26A33) 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 difference methods for boundary value problems involving PDEs (65N06) Fractional partial differential equations (35R11)
Cites Work
- High order finite difference methods on non-uniform meshes for space fractional operators
- A mixed finite element method for a time-fractional fourth-order partial differential 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
- Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
- Unconditionally stable schemes for equations of thin film epitaxy
- A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues
- The scalar auxiliary variable (SAV) approach for gradient flows
- Time fractional diffusion: A discrete random walk approach
- Analysis of a fully discrete local discontinuous Galerkin method for time-fractional fourth-order problems
- A two-grid mixed finite element method for a nonlinear fourth-order reaction-diffusion problem with time-fractional derivative
- A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach
- Energy stable L2 schemes for time-fractional phase-field equations
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Adaptive linear second-order energy stable schemes for time-fractional Allen-Cahn equation with volume constraint
- A finite difference scheme on graded meshes for time-fractional nonlinear Korteweg-de Vries equation
- Nonpolynomial collocation approximation of solutions to fractional differential equations
- A finite difference method with non-uniform timesteps for fractional diffusion equations
- Finite difference/spectral approximations for the time-fractional diffusion equation
- A fully discrete difference scheme for a diffusion-wave system
- Implicit-Explicit Difference Schemes for Nonlinear Fractional Differential Equations with Nonsmooth Solutions
- Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations
- Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation
- Numerical Algorithms for Time-Fractional Subdiffusion Equation with Second-Order Accuracy
- An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation
- Fast Finite Difference Schemes for Time-Fractional Diffusion Equations with a Weak Singularity at Initial Time
- A Linearized Second-Order Difference Scheme for the Nonlinear Time-Fractional Fourth-Order Reaction-Diffusion Equation
- Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations
- An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation
- An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation
- Maximum principle for certain generalized time and space fractional diffusion equations
- On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
- Error Analysis of a Finite Difference Method on Graded Meshes for a Time-Fractional Diffusion Equation
This page was built for publication: Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction–diffusion equation