Application of locally one-dimensional semi-implicit scheme in phase-field equations

DOI10.1016/j.cpc.2015.03.007zbMath1380.65147OpenAlexW2065713508MaRDI QIDQ1682417

Yong Du, Dan Cai, Li-jun Zhang

Publication date: 30 November 2017

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2015.03.007

zbMATH Keywords

partial differential equationphase-field modelboundary conditionsemi-implicit schemenumerical efficiencylocally one-dimensional splitting

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Second-order parabolic systems (35K40)

Uses Software

• FFTW

Cites Work

• Unnamed Item
• Contractivity of locally one-dimensional splitting methods
• Applications of semi-implicit Fourier-spectral method to phase field equations
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Unconditional Convergence of Some Crank-Nicolson Lod Methods for Initial- Boundary Value Problems
• Efficient Spectral-Galerkin Method I. Direct Solvers of Second- and Fourth-Order Equations Using Legendre Polynomials
• Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials
• IMPROVED ACCURACY FOR LOCALLY ONE-DIMENSIONAL METHODS FOR PARABOLIC EQUATIONS
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• On the Structure of Alternating Direction Implicit (A.D.I.) and Locally One Dimensional (L.O.D.) Difference Methods

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