4.4 Article

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

Journal

AIP ADVANCES
Volume 9, Issue 12, Pages -

Publisher

AMER INST PHYSICS
DOI: 10.1063/1.5126651

Keywords

-

Funding

  1. Higher Education Commission (HEC) Pakistan under the indigenous Ph.D. scholarship scheme
  2. HEC under NRPU [7781]

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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 scheme. Validation of the schemes is provided by numerically solving some well-known examples. (C) 2019 Author(s).

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