Fractional-Differential Model of Heat Conductivity Process in Ferroelectrics under the Intensive Heating Conditions

Fractional-Differential Model of Heat Conductivity Process in Ferroelectrics under the Intensive Heating Conditions

Ferroelectrics, due a number of characteristics, behave as hereditary materials with fractal structure. To model mathematically the systems with so-called memory effects one can use the fractional time-derivatives. The pyro-electric properties of ferroelectrics arouse interest in developing the frac...

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Bibliographic Details
Main Authors: L. I. Moroz, A. G. Maslovskaya
Format: Article
Language:Russian
Published: MGTU im. N.È. Baumana 2019-07-01
Series:Matematika i Matematičeskoe Modelirovanie
Subjects:
model of heat conductivity
fractional order heat equation
ferroelectric material
hereditary process
fractional order derivative
grunwald – letnikov formula
crank – nicolson scheme
Online Access:https://www.mathmelpub.ru/jour/article/view/185

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