Highly efficient schemes for time-fractional Allen-Cahn equation using extended SAV approach
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Publication:2234475
DOI10.1007/s11075-021-01068-yzbMath1481.65237arXiv1910.09087OpenAlexW3105047447MaRDI QIDQ2234475
Hongyi Zhu, Dianming Hou, Chuanju Xu
Publication date: 19 October 2021
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.09087
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Interpolation in approximation theory (41A05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Fractional partial differential equations (35R11)
Related Items (13)
Robust and stable schemes for time fractional molecular beam epitaxial growth model using SAV approach ⋮ Improving the accuracy and consistency of the scalar auxiliary variable (SAV) method with relaxation ⋮ An effective operator splitting scheme for two-dimensional conservative nonlocal Allen-Cahn equation ⋮ An adaptive time-stepping algorithm for the Allen-Cahn equation ⋮ On convergence of a novel linear conservative scheme for the two-dimensional fractional nonlinear Schrödinger equation with wave operator ⋮ The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models ⋮ A high-order discrete energy decay and maximum-principle preserving scheme for time fractional Allen-Cahn equation ⋮ A linearly stabilized convolution quadrature method for the time-fractional Allen-Cahn equation ⋮ Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model ⋮ Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation ⋮ A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach ⋮ Fast algorithm for nonlocal Allen-Cahn equation with scalar auxiliary variable approach ⋮ Numerical analysis of a linear second-order finite difference scheme for space-fractional Allen-Cahn equations
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