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

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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… Click to show full abstract

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.

Keywords: splitting schemes; numerical solution; solution allen; allen cahn; operator splitting; schemes numerical

Journal Title: AIP Advances
Year Published: 2019

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