StatusThe thesis was presented on the 17 September, 2008
Approved by NCAA on the 23 October, 2008
Abstract– 0.40 Mb / in romanian
ThesisCZU 004:5.6.91; 519.6
2.25 Mb /
The transition to an informational society assumes an increase of computers’ productivity in information technologies’ application at the solving of a wide class of actual applied problems. Significant parts from them are the problems, which mathematical models are reduced to various classes of the integral equations.
In the dissertation are developed and theoretical substantiate the methods of spline-collocations and spline-quadratures; also, it is developed and implement the Intelligent Information System for the approximate solving of integral equation (SII_EI) Fredholm and Volterra of the second kind, based on following received theoretical and applicative results:
It was developed a mathematical model for macroeconomics which determines the increased level of production funds, hence that necessary production level of consumer goods to be assured.
Both the solving solution of this problem based on developed intellectual system and the results of testing of impressive quantity of integrated equations, completely confirm the efficiency of the applied methodology to solve the integrated equations and developments of intelligent support system.
Also, it was proved the fact, that end users, assisted by the developed intelligent support system, can independently solve the integrated equations from corresponding application areas and develop own versions of intelligent systems for corresponding areas of work without obligatory consultations with experts from area of mathematics and computer science.