To numerical realization of some operator equation by alternating to perturbation technique method
Author: Gela ManelidzeKeywords: :
Annotation:
The problems of approximate solution of some linear operator equation with small parameter by approach of the alternative to perturbation technique method [ T.Vashakmadze,The Theory of Anisotropic Elastic Plates, Kluwer Acad. Publ., D./B./L.,1999] is studied. The alternative method is based on representation of unknown vector with respect of small parameter by Furier-Legendre l series instead of asymptotic one. In such a case system of three-point operator equations of special structure in received. For system solving a certain regular method is used. On the basis of the suggested method the corresponding scheme and programming product is created and realized . Algorithms and program products represent a new technology of approximate solution of two–point boundary value problem for some second order ordinary integro – differential equations.
Lecture files:
To numerical realization of some operator equation by alternating to perturbation technique method [en]ზოგიერთი ოპერატორული განტოლების რიცხვითი რეალიზაციის შესახებ შეშფოთების თეორიის ალტერნატიული მეთოდით [ka]