Green functions of problems of diffusion in two ways

Authors

  • Yurii Bilushchak Department of mathematical modeling of nonequilibrium processes Centre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine Department of Computational Mathematics and Programming Institute of Applied Mathematics and Fundamental Sciences Lviv Polytechnic National University
  • Olha Chernukha Department of mathematical modeling of nonequilibrium processes Centre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine Department of Computational Mathematics and Programming Institute of Applied Mathematics and Fundamental Sciences Lviv Polytechnic National University
  • Yevgen Chaplya Department of mathematical modeling of nonequilibrium processes Centre of Mathematical Modelling of Y. S. Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine Lviv, Ukraine Institute of Mechanics and Applied Informatics Kazimierz Wielki University in Bydgoszcz

Keywords:

heterodiffusion, initial-boundary value problem, Green function, point mass source, random coordinate

Abstract

In the work the matrix Green function of heterodiffusion problem in two ways is defined. Formulae for the elements of matrix are obtained and the behavour of Green functions is investigated. On this basis the solutions of initialboundary value problems under action of internal point source of mass are found. The cases of deterministic source are considered as well as stochastic ones under uniform and triangular distributions of coordinate of the mass source location.

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Published

2018-05-19

Issue

2018: INFORMATION TECHNOLOGIES AND COMPUTER MODELLING proceedings of the International Scientific Conference

Section

Section 7 Mathematical and computer modelling of complex systems