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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2019, Volume 362, pp. 574 - 595
Journal Article
SIAM Journal on Numerical Analysis, ISSN 0036-1429, 2017, Volume 55, Issue 4, pp. 1689 - 1718
We derive a fractional Cahn-Hilliard equation (FCHE) by considering a gradient flow in the negative order Sobolev space H-alpha, a is an element of [0, 1],... 
L∞ boundedness | Error estimates | Stability | Fractional Cahn-Hilliard equation | Mass conservation | Fourier spectral method | SPECTRAL METHOD | MATHEMATICS, APPLIED | mass conservation | MOTION | fractional Cahn Hilliard equation | ALLEN-CAHN | MODEL | L-infinity boundedness | error estimates | stability
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 02/2017, Volume 42, pp. 462 - 477
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 12/2018, Volume 374, pp. 654 - 667
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 12/2018, Volume 343, pp. 80 - 97
In this paper, we consider numerical approximations for the viscous Cahn–Hilliard equation with hyperbolic relaxation. This type of equations processes... 
Phase-field | Variable mobility | Stability | Cahn–Hilliard | Linear | Flory–Huggins | SYSTEM | MATHEMATICS, APPLIED | GLOBAL EXISTENCE | MAGNETIC DIFFUSION | Flory-Huggins | NUMERICAL APPROXIMATIONS | ALLEN-CAHN | LIQUID-CRYSTALS | DYNAMICS | EFFICIENT | Cahn-Hilliard | PHASE-FIELD MODEL | 2-PHASE INCOMPRESSIBLE FLOWS | Usage | Methods | Numerical analysis
Journal Article
Communications in Nonlinear Science and Numerical Simulation, ISSN 1007-5704, 07/2019, Volume 73, pp. 217 - 228
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 04/2017, Volume 73, Issue 8, pp. 1855 - 1864
In this work, we propose a fast and efficient adaptive time step procedure for the Cahn–Hilliard equation. The temporal evolution of the Cahn–Hilliard equation... 
Unconditionally stable scheme | Cahn–Hilliard equation | Adaptive time-stepping method | Cahn-Hilliard equation | MATHEMATICS, APPLIED | VARIABLE-MOBILITY | NUMERICAL-METHOD | GROWTH | MODEL | PHASE-FIELD | Analysis | Methods | Algorithms
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 01/2016, Volume 305, pp. 360 - 371
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 04/2016, Volume 310, pp. 85 - 108
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 11/2015, Volume 127, pp. 413 - 433
The well-posedness of a system of partial differential equations and dynamic boundary conditions, both of Cahn–Hilliard type, is discussed. The existence of a... 
Cahn–Hilliard system | Dynamic boundary condition | Strong solution | Mass conservation | Well-posedness | Cahn-Hilliard system | MATHEMATICS | MATHEMATICS, APPLIED | Nonlinear dynamics | Mathematical analysis | Conservation | Nonlinearity | Boundary conditions | Boundaries | Dynamical systems | Regularity
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 01/2019, Volume 77, Issue 1, pp. 189 - 198
We present a compact scheme to solve the Cahn–Hilliard equation with a periodic boundary condition, which is fourth-order accurate in space. We introduce... 
Energy stability | Compact scheme | Convex splitting | Cahn–Hilliard equation | Cahn-Hilliard equation | MATHEMATICS, APPLIED | ACCURATE | 2ND-ORDER | DIFFERENCE SCHEME | MODEL | PHASE FIELD APPROACH | NUMERICAL-ANALYSIS | EQUILIBRIUM STATES | 1ST | MINIMIZING WAVELENGTHS | 4TH-ORDER COMPACT | Dimensional stability | Boundary conditions
Journal Article
Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, ISSN 0960-0779, 09/2017, Volume 102, pp. 264 - 273
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2018, Volume 363, Issue C, pp. 39 - 54
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 07/2016, Volume 140, pp. 38 - 60
We consider a stochastic extension of the nonlocal convective Cahn–Hilliard equation containing an additive Wiener process noise. We first introduce a suitable... 
Cahn–Hilliard | Stochastic partial differential equation | Variational solution | Cahn-Hilliard | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MOTION | PHASE SEGREGATION DYNAMICS | PARTICLE-SYSTEMS | LONG-RANGE INTERACTIONS | BOUNDARY-PROBLEM | Nonlinearity | Additives | Stochasticity | Noise | Mathematical analysis | Uniqueness
Journal Article
Journal of Computational Physics, ISSN 0021-9991, 06/2013, Volume 242, pp. 321 - 350
Journal Article
Applied Numerical Mathematics, ISSN 0168-9274, 02/2018, Volume 124, pp. 44 - 56
This paper is concerned with the finite element approximation of the stochastic Cahn–Hilliard–Cook equation driven by an infinite dimensional Wiener type... 
SPDEs | Cahn–Hilliard equation | Finite element | Cahn-Hilliard equation | MATHEMATICS, APPLIED | APPROXIMATION | Finite element method | Analysis | Methods
Journal Article