Comparison of operator splitting schemes for the numerical solution of the Allen-Cahn equation

In this paper, we have analyzed the first- and second-order operator splitting schemes for the numerical solution of the Allen-Cahn equation. Different possibilities are considered for the derivation of the schemes. The numerical errors are computed in order to verify the effectiveness of each schem...

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Bibliographic Details
Main Authors: Sana Ayub, Hira Affan, Abdullah Shah
Format: Article
Language:English
Published: AIP Publishing LLC 2019-12-01
Series:AIP Advances
Online Access:http://dx.doi.org/10.1063/1.5126651