استفاده از رگولاریزاسیون خطی برای پیش‌بینی توابع توزیع دارای چند پیک در جاذبهای ناهمگن

Document Type: Research Paper

Authors

Abstract

In the present article an energy distribution function of heterogeneous solid was estimated. Energy distribution function is an important characterization for heterogeneous adsorbent. An overall adsorption quantity for a heterogeneous solid is usually expressed by a first kind of Fredholm equation, which contains unknown distribution function and local adsorption isotherm as a kernel. 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 linear regularization method and inverse theory. Performance of the regularization method for calculation multipeak energy distribution functions was examined in the present work. The results expressed with different charts and several random errors. The results showed that linear regularization method is very convenient for prediction of energy distribution function of heterogeneous solids. Furthermore, if a large amount of data at low pressure is available, the performance of this method would be very suitable. Therefore, in the most cases that some data have a large random error (about 50 %), regularization method can predict the energy distribution function satisfactorily.