Accurate numerical scheme for the flow by curvature.

*(English)*Zbl 0792.65100Summary: An accurate finite difference scheme for the flow by curvature in \(\mathbb{R}^ 2\) is presented, and its convergence theorem is stated. The numerical scheme has a correction term which is effective in locating points uniformly and the effect prevents the computation from breaking down.

##### MSC:

65Z05 | Applications to the sciences |

65M06 | Finite difference methods for initial value and initial-boundary value problems involving PDEs |

65M12 | Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs |

35K05 | Heat equation |

35R35 | Free boundary problems for PDEs |

##### Keywords:

numerical example; moving boundary problems; finite difference scheme; flow by curvature; convergence
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DOI

##### References:

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