МАТЕМАТИЧЕСКАЯ МОДЕЛЬ И ЧИСЛЕННЫЙ МЕТОД ДЛЯ РЕШЕНИЯ ЗАДАЧ ДИФФУЗИИ И ТЕПЛОПРОВОДНОСТИ

Translated title of the contribution: MATHEMATIC MODEL AND NUMERICAL TECHNIQUE FOR INVESTIGATION DIFFUSION AND HEAT CONDUCTION PHENOMENA

Research output: Contribution to journalArticle

Abstract

This article describes mathematic model and numerical method for partial parabolic differential equations of diffusion and heat conduction phenomena. Describes common numerical methods for solving differential equations parabolic type. Cellular Automata as numerical method for partial parabolic equation is described. Original Cellular Automata Margolis diffusion rule gives a discrete distribution. Described 2D and 3D Margolis mathematic model diffusion allows to get continuous distribution of physical parameter. Mathematic model Cellular Automata for molecular diffusion was verified by compared with analytical decision of diffusion equation. Relative error calculated of modified mathematical model and was about one percent. The diffusion coefficients are calculated dimensionless for modified mathematic model.
Translated title of the contributionMATHEMATIC MODEL AND NUMERICAL TECHNIQUE FOR INVESTIGATION DIFFUSION AND HEAT CONDUCTION PHENOMENA
Original languageRussian
Pages (from-to)176
JournalСовременные проблемы науки и образования
Issue number6
Publication statusPublished - 2013

GRNTI

  • 27.41.00

Level of Research Output

  • VAK List

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