TY - JOUR

T1 - Numerical methods for inverse problems in electrooptics of polydisperse colloids

AU - Babadzanjanz, L.

AU - Voitylov, A.

PY - 2007

Y1 - 2007

N2 - In this paper we propose a new method for the determination of the distribution of electrical and geometrical particle parameters based on electrooptical experimental data. The electrooptical method leads to the solution of inverse ill-posed problems. The main equations for the determination of the distribution of particles on these parameters are presented. To find out the distribution functions from the electrooptical experimental data one has to solve the first-kind Fredholm integral equation corresponding to the problem under study. The proposed method of its solution is based on the penalty functions method. The results of modelling that let us compare the various numerical methods are presented.

AB - In this paper we propose a new method for the determination of the distribution of electrical and geometrical particle parameters based on electrooptical experimental data. The electrooptical method leads to the solution of inverse ill-posed problems. The main equations for the determination of the distribution of particles on these parameters are presented. To find out the distribution functions from the electrooptical experimental data one has to solve the first-kind Fredholm integral equation corresponding to the problem under study. The proposed method of its solution is based on the penalty functions method. The results of modelling that let us compare the various numerical methods are presented.

KW - Polydispersity

KW - Distribution function

KW - Fredholm I kind integral equation

KW - Numerical methods

KW - Penalty functions

U2 - http://dx.doi.org/10.1016/j.colsurfb.2006.10.022

DO - http://dx.doi.org/10.1016/j.colsurfb.2006.10.022

M3 - Article

VL - 56

SP - 121

EP - 125

JO - Colloids and Surfaces B: Biointerfaces

JF - Colloids and Surfaces B: Biointerfaces

SN - 0927-7765

IS - 1-2

ER -