Yu. A. Kriksin, V. F. Tishkin, P. G. Khalatur, A. R. Khokhlov, “On the convergence of explicit two-layer iterative procedure for the polymer theory integral equation”, Matem. Mod., 1999, Volume 11, Number 12,Pages <nobr>105

Computational methods and algorithms

On the convergence of explicit two-layer iterative procedure for the polymer theory integral equation

Yu. A. Kriksin^a, V. F. Tishkin^a, P. G. Khalatur^b, A. R. Khokhlov^c

^a Institute for Mathematical Modelling, Russian Academy of Sciences
^b Tver State University, Chemical and Biological Department
^c M. V. Lomonosov Moscow State University, Faculty of Physics

Abstract: The explicit two-layer iterative procedure convergence for integral equation of polymer theory with Percus–Yevick closure relation is studied. The investigation of the stability on the first approximation lays in the basis of the proof of the method convergence.

UDC: 536.7

Received: 06.04.1999