福州大学学报（自然科学版）2017，Vol.45Issue(3)：307-311,5.DOI:10.7631/issn.1000-2243.2017.03.0307
有限差分-谱方法求解Allen-Cahn方程的误差分析
Error analysis of finite difference -spectral method for Allen-Cahn equations
摘要
Abstract
We investigate the error analysis of finite difference/spectral method for Allen-Cahn equa-tions, where a vary small parameter ε represents the interfacial width. The error analysis shows that if the time step δt is small enough and polynomial order N is large enough, then the error bound of the fully discrete schemes depends on the term ε-σ when the regularity of initial data u0 depends on the same term ε-σ. This result improves the error bound in which depends on eε1/2.关键词
Allen-Cahn方程/有限差分/谱方法/误差分析Key words
Allen-Cahn equation/finite difference method/spectral method/error analysis分类
数理科学引用本文复制引用
李娴娟..有限差分-谱方法求解Allen-Cahn方程的误差分析[J].福州大学学报（自然科学版）,2017,45(3):307-311,5.基金项目
福建省教育厅科技资助项目(JA14034) （JA14034）
福建省自然科学基金资助项目(2016J01013) （2016J01013）
