Translated Title
Error analysis of finite difference -spectral method for Allen-Cahn equations
Translated 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.
Translated Keyword
Allen-Cahn equation
error analysis
finite difference method
spectral method
Access Number
WF:perioarticalfzdxxb201703002
