A second order energy dissipative scheme for time fractional \(L^2\) gradient flows using SAV approach
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Publication:2063213
DOI10.1007/s10915-021-01667-wzbMath1481.65131OpenAlexW3215012796MaRDI QIDQ2063213
Publication date: 10 January 2022
Published in: Journal of Scientific Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10915-021-01667-w
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) Fractional partial differential equations (35R11)
Related Items (12)
A Stable Arbitrarily High Order Time-Stepping Method for Thermal Phase Change Problems ⋮ A generalized SAV approach with relaxation for dissipative systems ⋮ A linear adaptive second‐order backward differentiation formulation scheme for the phase field crystal equation ⋮ The exponential SAV approach for the time-fractional Allen-Cahn and Cahn-Hilliard phase-field models ⋮ An implicit-explicit second-order BDF numerical scheme with variable steps for gradient flows ⋮ An efficient and robust Lagrange multiplier approach with a penalty term for phase-field models ⋮ 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 linear second-order maximum bound principle-preserving BDF scheme for the Allen-Cahn equation with a general mobility ⋮ Second-order linear adaptive time-stepping schemes for the fractional Allen-Cahn equation ⋮ 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
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