6533b85dfe1ef96bd12bf079

RESEARCH PRODUCT

Conservative Averaging Method for Solutions of Inverse Problems for Heat Equation

Sharif GuseinovAndris Buikis

subject

Mathematical optimizationDevelopment (topology)Thermal conductivityComputer scienceProcess (computing)Heat equationState (functional analysis)Inverse problemReliability (statistics)Experimental research

description

Inverse problems arise in various fields of science, technology and agriculture where from measurements of state of the system or process it is required to determine a certain typesetting of the causal characteristics. It is known that infrigement of the natural causal relationships can entail incorrectness of the mathematical formulation of inverse problem. Therefore the development of efficient methods for solving such problems allow us to simplify experimental research considerably and to increase the accuracy and reliability of the obtained results due to certain complication of algoritms for processing the experemental data. The problem of the determination of the coefficient of thermal conductivity is among the incorrect inverse problem.

https://doi.org/10.1007/978-3-662-09510-2_30