SOLUTION ALGORITHMS FOR DIRECT AND BACKWARD HEAT CONDUCTIVITY PROBLEMS BY MEANS OF DIFFERENTIAL-DIFFERENCE MODELS

Kirill Kirillov, Pilipenko Nikolay V.

2010 , VOLUME 10, NUMBER 5 ( SEPTEMBER-OCTOBER )

ISSN 2226-1494 (print), ISSN 2500-0373 (online)

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Editor-in-Chief

Nikiforov
Vladimir O.
D.Sc., Prof.

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SOLUTION ALGORITHMS FOR DIRECT AND BACKWARD HEAT CONDUCTIVITY PROBLEMS BY MEANS OF DIFFERENTIAL-DIFFERENCE MODELS

K. Kirillov, N. V. Pilipenko

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Abstract

The article describes the use of various versions of digital Kalman filter for solving the boundary and coefficient inverse problems of heat conductivity. It contains descriptions for mathematical models of heat transfer and measurements as well as used algorithms and computational routines. The testing results of developed programs are included.

Keywords: differential-difference model of heat transfer, boundary and coefficient inverse problems of heat conductivity, Kalman filter

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