Energy dissipation law of the variable time-step fractional BDF2 scheme for the time fractional molecular beam epitaxial model
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Publication:6625132
DOI10.1080/00207160.2024.2315131MaRDI QIDQ6625132
Hong Sun, Xuan Zhao, Zhuhan Jiang
Publication date: 28 October 2024
Published in: (Search for Journal in Brave)
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) Fractional partial differential equations (35R11)
Cites Work
- Title not available (Why is that?)
- A fully discrete stable discontinuous Galerkin method for the thin film epitaxy problem without slope selection
- A mixed finite element method for thin film epitaxy
- Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy
- Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection
- Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method
- Regularized linear schemes for the molecular beam epitaxy model with slope selection
- Non-uniform L1/discontinuous Galerkin approximation for the time-fractional convection equation with weak regular solution
- Highly efficient and accurate numerical schemes for the epitaxial thin film growth models by using the SAV approach
- Two energy stable variable-step L1 schemes for the time-fractional MBE model without slope selection
- Compatible \(L^2\) norm convergence of variable-step L1 scheme for the time-fractional MBE model with slope selection
- Asymptotically compatible energy law of the Crank-Nicolson type schemes for time-fractional MBE models
- Time-fractional Allen-Cahn equations: analysis and numerical methods
- An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection
- Error analysis of a high order method for time-fractional diffusion equations
- Second-order Convex Splitting Schemes for Gradient Flows with Ehrlich–Schwoebel Type Energy: Application to Thin Film Epitaxy
- An Adaptive Time-Stepping Strategy for the Molecular Beam Epitaxy Models
- An Adaptive Time-Stepping Strategy for the Cahn-Hilliard Equation
- A second‐order energy stable backward differentiation formula method for the epitaxial thin film equation with slope selection
- Energy stability and error estimates of exponential time differencing schemes for the epitaxial growth model without slope selection
- Thin film epitaxy with or without slope selection
- Iterative methods for solving fourth‐ and sixth‐order time‐fractional Cahn‐Hillard equation
- An Energy Stable and Maximum Bound Preserving Scheme with Variable Time Steps for Time Fractional Allen--Cahn Equation
- On Energy Dissipation Theory and Numerical Stability for Time-Fractional Phase-Field Equations
- Adaptive Second-Order Crank--Nicolson Time-Stepping Schemes for Time-Fractional Molecular Beam Epitaxial Growth Models
- Errors of an Implicit Variable-Step BDF2 Method for a Molecular Beam Epitaxial Model with Slope Selection
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