The Allen-Cahn equation with a time Caputo-Hadamard derivative: mathematical and numerical analysis
DOI10.3934/CAM.2023031zbMATH Open1547.65152MaRDI QIDQ6611454
Publication date: 26 September 2024
Published in: Communications in Analysis and Mechanics (Search for Journal in Brave)
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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- Caputo-type modification of the Hadamard fractional derivatives
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Essay on the study of functions defined by their Taylor expansion.
- A novel modeling of boundary value problems on the glucose graph
- The blow-up and global existence of solution to Caputo-Hadamard fractional partial differential equation with fractional Laplacian
- Numerical approaches to Caputo-Hadamard fractional derivatives with applications to long-term integration of fractional differential systems
- A second-order scheme with nonuniform time grids for Caputo-Hadamard fractional sub-diffusion equations
- A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen-Cahn equations
- Mathematical analysis and the local discontinuous Galerkin method for Caputo-Hadamard fractional partial differential equation
- Time-fractional Allen-Cahn equations: analysis and numerical methods
- Sharp \(H^1\)-norm error estimates of two time-stepping schemes for reaction-subdiffusion problems
- On Cauchy problem for fractional parabolic-elliptic Keller-Segel model
- Optimal a priori error estimates for the \(hp\)-version of the local discontinuous Galerkin method for convection-diffusion problems
- High order local discontinuous Galerkin methods for the Allen-Cahn equation: analysis and simulation
- Analysis of a Local Discontinuous Galerkin Method for Linear Time-Dependent Fourth-Order Problems
- Phase-Field Models for Multi-Component Fluid Flows
- Numerical Analysis of Nonlinear Subdiffusion Equations
- Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations
- On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
- Higher integrability for anisotropic parabolic systems of \(p\)-Laplace type
- Multiplicity results for fractional Schrödinger-Kirchhoff systems involving critical nonlinearities
- Mathematical analysis of the Hadamard-type fractional Fokker-Planck equation
- A nonuniform \(\mathrm{L}2-1_\sigma\)/LDG method for the Caputo-Hadamard time-fractional convection-diffusion equation
- Boundedness of square functions related with fractional Schrödinger semigroups on stratified Lie groups
- A new class of multiple nonlocal problems with two parameters and variable-order fractional \(p(\cdot)\)-Laplacian
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