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首页> 外文期刊>Journal of Mathematical and Computational Science >A new monotonically stable discrete model for the solution of differential equations emanating from the evaporating raindrop
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A new monotonically stable discrete model for the solution of differential equations emanating from the evaporating raindrop

机译:一个新的单调稳定离散模型,用于求解由蒸发的雨滴引起的微分方程

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Most of the models of the dynamics of evaporating raindrop have been created using Ordinary Differential Equations. Some models assumed that evaporation is affected by air resistance that is negligible and proportional to the velocity of transition others assumed that the air resistance is significant and proportional to the square of the velocity. Because of the significant differences in the basic assumption used by various modelers, the solution of the resulting equations produced differed values There are yet no work to confirm these dependencies. In this work we obtain a class of hybrid finite difference schemes that can be used to obtain a reliable approximate solution to some of these differential equation models. The schemes were found to possess the same monotonic properties as the analytic solution.
机译:蒸发雨滴动力学的大多数模型是使用常微分方程创建的。一些模型假定蒸发受空气阻力的影响可忽略不计,并且与过渡速度成比例,而其他模型则假定空气阻力显着且与速度的平方成比例。由于各种建模者所使用的基本假设存在显着差异,因此所得方程的解产生了不同的值。尚无任何工作可证实这些依赖性。在这项工作中,我们获得了一类混合有限差分方案,可用于为其中的某些微分方程模型获得可靠的近似解。发现该方案具有与解析溶液相同的单调性质。

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