A new second-order maximum-principle preserving finite difference scheme for Allen–Cahn equations with periodic boundary conditions-Reference-Cited by-同舟云学术

A new second-order maximum-principle preserving finite difference scheme for Allen–Cahn equations with periodic boundary conditions

Published:2020-06 Issue: Volume:104 Page:106265
ISSN:0893-9659
Container-title:Applied Mathematics Letters
language:en
Short-container-title:Applied Mathematics Letters

Author:

Hou Tianliang,Xiu Defeng,Jiang Wenzhu

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

Applied Mathematics

Reference6 articles.

1. Implicit-explicit scheme for the Allen–Cahn equation preserves the maximum principle;Tang;J. Comput. Math.,2016

2. On the maximum principle preserving schemes for the generlized Allen–Cahn equation;Shen;Commun. Math. Sci.,2016

3. Numerical analysis of fully discretized Crank–Nicolson scheme for fractional-in-space Allen–Cahn equations;Hou;J. Sci. Comput.,2017

4. Numerical analysis of a stabilized Crank–Nicolson/Adams–Bashforth finite difference scheme for Allen–Cahn equations;Hou;Appl. Math. Lett.,2020

5. H. Liao, T. Tang, T. Zhou, A second-order and nonuniform time-stepping maximum-principle preserving scheme for time-fractional Allen–Cahn equations, ArXiv:1909.10216.

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