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Title: Boundary conditions for the subdiffusion equation

Abstract

The boundary conditions for the subdiffusion equations are formulated using the continuous-time random walk model, as well as several versions of the random walk model on an irregular lattice. It is shown that the boundary conditions for the same equation in different models have different forms, and this difference considerably affects the solutions of this equation.

Authors:
 [1]
  1. National Academy of Sciences of Ukraine, Institute of Surface Chemistry (Ukraine)
Publication Date:
OSTI Identifier:
22126546
Resource Type:
Journal Article
Journal Name:
Journal of Experimental and Theoretical Physics
Additional Journal Information:
Journal Volume: 116; Journal Issue: 4; Other Information: Copyright (c) 2013 Pleiades Publishing, Ltd.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUNDARY CONDITIONS; DIFFUSION EQUATIONS; GRAPH THEORY; MATHEMATICAL SOLUTIONS; RANDOMNESS

Citation Formats

Shkilev, V. P., E-mail: shkilevv@ukr.net. Boundary conditions for the subdiffusion equation. United States: N. p., 2013. Web. doi:10.1134/S106377611304016X.
Shkilev, V. P., E-mail: shkilevv@ukr.net. Boundary conditions for the subdiffusion equation. United States. https://doi.org/10.1134/S106377611304016X
Shkilev, V. P., E-mail: shkilevv@ukr.net. 2013. "Boundary conditions for the subdiffusion equation". United States. https://doi.org/10.1134/S106377611304016X.
@article{osti_22126546,
title = {Boundary conditions for the subdiffusion equation},
author = {Shkilev, V. P., E-mail: shkilevv@ukr.net},
abstractNote = {The boundary conditions for the subdiffusion equations are formulated using the continuous-time random walk model, as well as several versions of the random walk model on an irregular lattice. It is shown that the boundary conditions for the same equation in different models have different forms, and this difference considerably affects the solutions of this equation.},
doi = {10.1134/S106377611304016X},
url = {https://www.osti.gov/biblio/22126546}, journal = {Journal of Experimental and Theoretical Physics},
issn = {1063-7761},
number = 4,
volume = 116,
place = {United States},
year = {Mon Apr 15 00:00:00 EDT 2013},
month = {Mon Apr 15 00:00:00 EDT 2013}
}