| Abstract
| - The paper consists of three main parts. In the first, a new “adsorption stochastic algorithm” (called ASA)for solving the unstable linear Fredholm integral equation of the first kind is proposed. In this program,some procedures of estimating the relative minimum in one dimension are tested. The newly developedalgorithm is applied in the second part for reconstructing some pore size distribution functions (monomodaland multimodal). Moreover, the influence of a random noise on the stability of the solution of the inverseproblem is studied. In the third part, the experimental verification of the above-mentioned method ispresented. The results calculated by ASA are compared with those obtained by applying advancedregularization CONTIN and INTEG algorithms. It is shown that the developed ASA method always providesstable and very similar results to Tikhonov's regularization method. Moreover, the ASA computationsobtained for the Nguyen and Do local isotherms as the kernel are very similar to the results calculatedby the most sophisticated regularization density functional theory software. Summing up, the method canbe very useful for evaluating the pore size distribution from experimental data.
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