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arXiv 1012.2530math-phmath.MP
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强次扩散方程的短距离积分平衡解:弱幂律剖面

A Short-Distance Integral-Balance Solution to a Strong Subdiffusion Equation: A Weak Power-Law Profile

Jordan Hristov

摘要:

本文提出了一个积分解的时间分数次扩散通过一个初步定义的轮廓未知的系数和渗透层的概念,众所周知的热扩散的轮廓满足边界条件施加在边界的边界层在一个弱的形式,使其系数表示通过边界层深度作为唯一的参数描述的配置文件。该技术证明了一个解决方案的时间分数次扩散方程的直线一维条件

英文摘要:

The work presents an integral solution of the time-fractional subdiffusion through a preliminary defined profile with unknown coefficients and the concept of penetration layer well known from the heat diffusion The profile satisfies the boundary conditions imposed at the boundary of the boundary layer in a weak form that allows its coefficients to be expressed through the boundary layer depth as unique parameter describing the profile. The technique is demonstrated by a solution of a time fractional subdiffusion equation in rectilinear 1-D conditions

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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