The solution of adsorption integral equations by means of the regularization method
The solution of adsorption integral equations by means of the regularization method
复制标题
正则化法求解吸附积分方程
DOI：
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发表时间：
1992
期刊：
影响因子：
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通讯作者：
M. Jaroniec
中科院分区：
文献类型：
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作者：
M. Szombathely;P. Bräuer;M. Jaroniec
非均相固体的总体吸附量通常用积分方程表示，积分方程包含描述该固体非均相性质的分布函数。该分布函数的计算是一个不适定问题。本文表明，正则化方法可以克服吸附方程的不适定性所带来的困难。这项工作提出了正则化的一般原则来解决病态问题，而不需要详细的数学考虑。用模拟和实验吸附等温线说明了正则化方法在计算任何总体吸附函数的分布函数中的应用。
An overall adsorption quantity for a heterogeneous solid is usually expressed by an integral equation, which contains a distribution function that describes heterogeneous properties of this solid. The calculation of this distribution function is an ill‐posed problem. The current article shows that the difficulties arising from the ill‐posed nature of an adsorption equation can be overcome with the regularization method. This work presents general principles of regularization for solving the ill‐posed problems without detailed mathematical considerations. The application of the regularization method to calculate a distribution function from any overall adsorption functions is illustrated with both simulated and experimental adsorption isotherms.