We give a theoretical basis for special solution of the linear non-homogeneous recursion equation with constant coefficient.

提出了非齐次线性递归方程的降阶公式，并由此导出了常系数非齐次线性递归方程的特解公式。

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The calculated exemplum by using this model indicates that experimental regression constant in the diffusion coefficient equation varies with the flow velocity of fluid and ranges from 0.014 to 0.020.

研究结果表明，颗粒扩散系数方程中的实验回归系数应考虑成流速的函数，取值范围为0.014～0。 020；

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