A fast and efficient numerical algorithm for fractional Allen-Cahn with precise nonlocal mass conservation

DOI10.1016/j.aml.2019.106190zbMath1447.65038OpenAlexW2995008158MaRDI QIDQ2184969

Shuying Zhai, Chuanxiu Ye, Zhifeng Weng

Publication date: 4 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106190

zbMATH Keywords

maximum principlemass conservationoperator splittingRiesz derivativefractional conservative Allen-Cahn equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Fractional partial differential equations (35R11)

Related Items (7)

An effective operator splitting scheme for two-dimensional conservative nonlocal Allen-Cahn equation ⋮ Up to eighth-order maximum-principle-preserving methods for the Allen-Cahn equation ⋮ Third-order accurate, large time-stepping and maximum-principle-preserving schemes for the Allen-Cahn equation ⋮ Highly efficient time-marching method with enhanced energy consistency for the \(L^2\)-gradient flow based two-phase incompressible fluid system ⋮ On the preserving of the maximum principle and energy stability of high-order implicit-explicit Runge-Kutta schemes for the space-fractional Allen-Cahn equation ⋮ Extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium ⋮ Phase field modeling and computation of multi-component droplet evaporation

Cites Work

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• A Fourth-order Compact ADI scheme for Two-Dimensional Nonlinear Space Fractional Schrödinger Equation
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