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On the perturbation method for the Stefan problem with time-dependent boundary conditions

机译:时变边界条件下Stefan问题的摄动方法

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摘要

Perturbation methods are developed for Stefan problems with time-dependent boundary conditions. The methods are applied to melting of ice in the half-plane, outward spherical solidification and outward cylindrical solidification of a saturated liquid. The results are shown to compare well with those obtained by other numerical methods.
机译:针对带时间依赖边界条件的Stefan问题开发了摄动方法。该方法适用于冰在半平面中的熔化,饱和液体的向外球形凝固和向外圆柱形凝固。结果表明,该结果与通过其他数值方法获得的结果进行了很好的比较。

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