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Accurate numerical scheme for the flow by curvature. (English) Zbl 0792.65100
Summary: 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
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References:
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