Verification of convergence rates of numerical solutions for parabolic equations
From MaRDI portal
Publication:2298824
DOI10.1155/2019/8152136zbMath1435.65121OpenAlexW2950367550MaRDI QIDQ2298824
Yibao Li, Junseok Kim, Yongho Choi, Chaeyoung Lee, Junxiang Yang, Darae Jeong
Publication date: 20 February 2020
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2019/8152136
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)
Related Items (2)
A simple benchmark problem for the numerical methods of the Cahn-Hilliard equation ⋮ A study about the solution of convection–diffusion–reaction equation with Danckwerts boundary conditions by analytical, method of lines and Crank–Nicholson techniques
Cites Work
- Unnamed Item
- Unnamed Item
- A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equation
- Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
- A fast second-order accurate method for a two-sided space-fractional diffusion equation with variable coefficients
- Numerical analysis of the Allen-Cahn equation and approximation for mean curvature flows
- Computation of multiphase systems with phase field models.
- Malliavin calculus for the stochastic Cahn-Hilliard/Allen-Cahn equation with unbounded noise diffusion
- Linear, second order and unconditionally energy stable schemes for the viscous Cahn-Hilliard equation with hyperbolic relaxation using the invariant energy quadratization method
- A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions
- High-order compact difference scheme and multigrid method for solving the 2D elliptic problems
- A multigrid solution for the Cahn-Hilliard equation on nonuniform grids
- Convergence of the solution of the stochastic 3D globally modified Cahn-Hilliard-Navier-Stokes equations
- Three-dimensional multispecies nonlinear tumor growth. I: Model and numerical method
- Geometrical image segmentation by the Allen-Cahn equation
- A compact finite difference scheme for variable order subdiffusion equation
- Numerical solution of a time-space fractional Fokker Planck equation with variable force field and diffusion
- An unconditionally energy-stable second-order time-accurate scheme for the Cahn-Hilliard equation on surfaces
- Unconditionally stable compact theta schemes for solving the linear and semi-linear fourth-order diffusion equations
- Impulse output rapid stabilization for heat equations
- A phase-field fluid modeling and computation with interfacial profile correction term
- Energy stable compact scheme for Cahn-Hilliard equation with periodic boundary condition
- A benchmark problem for the two- and three-dimensional Cahn-Hilliard equations
- Image segmentation based on modified fractional Allen-Cahn equation
- Unconditionally stable, second-order accurate schemes for solid state phase transformations driven by mechano-chemical spinodal decomposition
- Secondary bifurcation for a nonlocal Allen-Cahn equation
- A numerical method for the Cahn-Hilliard equation with a variable mobility
- A stable second-order partitioned iterative scheme for freely vibrating low-mass bluff bodies in a uniform flow
- Multi-component Cahn-Hilliard system with different boundary conditions in complex domains
- An unconditionally stable hybrid method for image segmentation
- Analysis of symmetric interior penalty discontinuous Galerkin methods for the Allen–Cahn equation and the mean curvature flow
- Inpainting of Binary Images Using the Cahn–Hilliard Equation
- Mean curvature flow by the Allen–Cahn equation
- Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines
- Free Energy of a Nonuniform System. I. Interfacial Free Energy
- A class of second order difference approximations for solving space fractional diffusion equations
- Strong solutions in the dynamical theory of compressible fluid mixtures
- Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach
- Convergence Analysis of an Unconditionally Energy Stable Linear Crank-Nicolson Scheme for the Cahn-Hilliard Equation
This page was built for publication: Verification of convergence rates of numerical solutions for parabolic equations