Highly Efficient and Energy Dissipative Schemes for the Time Fractional Allen--Cahn Equation
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Publication:3382805
DOI10.1137/20M135577XzbMath1482.65142arXiv2104.12109OpenAlexW3199894888MaRDI QIDQ3382805
Publication date: 22 September 2021
Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2104.12109
Integro-partial differential equations (45K05) Fractional derivatives and integrals (26A33) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Fractional partial differential equations (35R11)
Related Items (10)
Energy stable L2 schemes for time-fractional phase-field equations ⋮ Asymptotically compatible energy law of the Crank-Nicolson type schemes for time-fractional MBE models ⋮ Compatible Energy Dissipation of the Variable-Step \({\boldsymbol{L1}}\) Scheme for the Space-Time Fractional Cahn-Hilliard Equation ⋮ Energy stability of a temporal variable-step difference scheme for time-fractional nonlinear fourth-order reaction–diffusion equation ⋮ 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 ⋮ Variable-step numerical schemes and energy dissipation laws for time fractional Cahn-Hilliard model ⋮ A Unified Design of Energy Stable Schemes with Variable Steps for Fractional Gradient Flows and Nonlinear Integro-differential Equations ⋮ Fast High Order and Energy Dissipative Schemes with Variable Time Steps for Time-Fractional Molecular Beam Epitaxial Growth Model ⋮ A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach
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