High-order time-adaptive numerical methods for the Allen-Cahn and Cahn-Hilliard equations

In some nonlinear reaction-diffusion equations of interest in applications, there are transition layers in solutions that separate two or more materials or phases in a medium when the reaction term is very large. Two well known equations that are of this type: The Allen-Cahn equation and the Cahn-Hi...

Full description

Bibliographic Details
Main Author: Willoughby, Mark Ryerson
Language:English
Published: University of British Columbia 2011
Online Access:http://hdl.handle.net/2429/39533