A fourth-order finite difference method for the Allen-Cahn equation (Q6591544)

scientific article; zbMATH DE number 7900357

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English	A fourth-order finite difference method for the Allen-Cahn equation	scientific article; zbMATH DE number 7900357

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instance of

scholarly article

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title

A fourth-order finite difference method for the Allen-Cahn equation (English)

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Journal of Computational and Applied Mathematics

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publication date

22 August 2024

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zbMATH Keywords

Allen-Cahn equation

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fourth-order accurate

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finite difference method

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penta-diagonal matrix

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MaRDI profile type

Publication

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cites work

Linear energy stable and maximum principle preserving semi-implicit scheme for Allen-Cahn equation with double well potential

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A spatial fourth-order maximum principle preserving operator splitting scheme for the multi-dimensional fractional Allen-Cahn equation

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Temporal high-order, unconditionally maximum-principle-preserving integrating factor multi-step methods for Allen-Cahn-type parabolic equations

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An unconditionally energy stable second order finite element method for solving the Allen-Cahn equation

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Stability analysis and error estimates of local discontinuous Galerkin methods with semi-implicit spectral deferred correction time-marching for the Allen-Cahn equation

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High-order, unconditionally maximum-principle preserving finite element method for the Allen-Cahn equation

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Stability and error estimates of Strang splitting method for the nonlocal ternary conservative Allen-Cahn model

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Stability analysis for a maximum principle preserving explicit scheme of the Allen-Cahn equation

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A second-order maximum bound principle preserving operator splitting method for the Allen-Cahn equation with applications in multi-phase systems

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Error analysis and numerical simulations of Strang splitting method for space fractional nonlinear Schrödinger equation

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An effective operator splitting method based on spectral deferred correction for the fractional Gray-Scott model

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Fast high-order method for multi-dimensional space-fractional reaction-diffusion equations with general boundary conditions

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A high-order compact difference method on fitted meshes for Neumann problems of time-fractional reaction-diffusion equations with variable coefficients

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A second-order Strang splitting scheme with exponential integrating factor for the Allen-Cahn equation with logarithmic Flory-Huggins potential

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A compact fourth-order finite difference scheme for the three-dimensional Cahn-Hilliard equation

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An efficient and stable compact fourth-order finite difference scheme for the phase field crystal equation

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A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations

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An unconditional stable compact fourth-order finite difference scheme for three dimensional Allen-Cahn equation

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Numerical simulation of the three dimensional Allen-Cahn equation by the high-order compact ADI method

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Explicit third-order unconditionally structure-preserving schemes for conservative Allen-Cahn equations

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A high-order and unconditionally energy stable scheme for the conservative Allen-Cahn equation with a nonlocal Lagrange multiplier

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Numerical analysis for solving Allen-Cahn equation in 1D and 2D based on higher-order compact structure-preserving difference scheme

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Discrete maximum principle and energy stability of the compact difference scheme for two-dimensional Allen-Cahn equation

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A phase-field model for highly anisotropic interfacial energy

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First and second order operator splitting methods for the phase field crystal equation

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Q4236291

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An unconditionally stable hybrid numerical method for solving the Allen-Cahn equation

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The tanh-coth method for solitons and kink solutions for nonlinear parabolic equations

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Stability and error estimate of the operator splitting method for the phase field crystal equation

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A high order operator splitting method based on spectral deferred correction for the nonlocal viscous Cahn-Hilliard equation

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A comparison study of ADI and operator splitting methods on option pricing models

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Non-iterative compact operator splitting scheme for Allen-Cahn equation

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Benchmark problems for the numerical schemes of the phase-field equations

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Mean curvature flow by the Allen–Cahn equation

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A second order operator splitting method for Allen-Cahn type equations with nonlinear source terms

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.CAM.2024.116159

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Sitelinks

Mathematics(1 entry)

mardi Publication:6591544