EFFECTIVE ALGORITHMS FOR SOLVING COEFFICIENT PROBLEMS OF HIGH ACCURACY ORDER

Authors

  • V. Ivaschenko NMetAU
  • G. Shvachych
  • E. Ivaschenko
  • V. Busygin

Keywords:

coefficient problems, extreme formulation, simulation models, heat conduction, heat transfer

Abstract

In order to researh the materials thermophysical properties by the inverse methods, a corresponding class of mathematical models is derived. The processing procedure for simulation models is reduced to extreme formulation, that allowed to develop effective algorithms for solving coefficient problems of arbitrary accuracy order. The package of applied programs for solving coefficient problems of thermal conductivity by simulation modeling methods is developed. The package is made on the bases of the object-oriented programming requirements. The simulation procedure was based on a multiprocessor computing system application. The test problems solution results are presented on the basis of the proposed approach.

Published

2019-04-25