Linearly implicit schemes preserve the maximum bound principle and energy dissipation for the time-fractional Allen-Cahn equation

DOI10.1007/s10915-024-02667-2zbMath1548.6518MaRDI QIDQ6608089

Hongliang Liu, Huiling Jiang, Haorong Huang, Dongdong Hu

Publication date: 19 September 2024

Published in: Journal of Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

linearly implicit schemeadaptive time-steppingmaximum bound principleenergy-stable schemetime-fractional Allen-Cahn equationorthogonal convolution kernel

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) 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) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

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