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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.

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
Full Text: DOI
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