Up to fourth-order unconditionally structure-preserving parametric single-step methods for semilinear parabolic equations

• Main Authors: Zhang, Hong, Yan, Jingye, Qian, Xu, ong, Songhe
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Semilinear Parabolic Equations; Conservative Allen–Cahn Equations
• Online Access: https://hdl.handle.net/10356/164165
• Institution: Nanyang Technological University

We propose and analyze a class of temporal up to fourth-order unconditionally structure-preserving single-step methods for Allen–Cahn-type semilinear parabolic equations. We first revisit some up to second-order exponential time different Runge–Kutta (ETDRK) schemes, and provide unified proofs for t...