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Journal of Computational and Applied MathematicsVolume 318, 1 July 2017, Pages 580-590

A difference scheme for multidimensional transfer equations with time delay(Article)(Open Access)

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  • aInstitute of Mathematics and Computer Science, Ural Federal University, Russian Federation
  • bInstitute of Mathematics and Mechanics, Ural branch of the RAS, Russian Federation
  • cDepartment of Mathematical Analysis, Ghent University, Belgium

Abstract

This paper continues research initiated in Solodushkin et al. (2015). We develop a finite difference scheme for a first order multidimensional partial differential equation including a time delay. This class of equations is used to model different time lapse phenomena, e.g. birds migration, proliferation of viruses or bacteria and transfer of nuclear particles. For the constructed difference schemes the order of approximation, stability and convergence order are substantiated. To conclude we support the obtained results with some test examples. © 2016 Elsevier B.V.

Author keywords

Difference schemeMultidimensional transfer equationPartial delay differential equationTime delay

Indexed keywords

Engineering controlled terms:Finite difference methodViruses
Engineering uncontrolled termsDelay differential equationsDifference schemesFinite difference schemeMultidimensional partial differential equationsNuclear particlesStability and convergenceTest examplesTransfer equation
Engineering main heading:Time delay

Funding details

Funding sponsor Funding number Acronym
15/PDO/076
Russian Foundation for Basic Research13-01-00089,14-01-00065РФФИ

  • 1

    This research is supported by RFBR 14-01-00065 and 13-01-00089 . We acknowledge the support by the program 02.A03.21.0006 on 27.08.2013. The last author acknowledges the support of FWO-Vlaanderen 15/PDO/076 .

  • ISSN: 03770427
  • Source Type: Journal
  • Original language: English
  • DOI: 10.1016/j.cam.2015.12.011
  • Document Type: Article
  • Publisher: Elsevier B.V.

  Solodushkin, S.I.; Institute of Mathematics and Computer Science, Ural Federal University, Russian Federation;
© Copyright 2017 Elsevier B.V., All rights reserved.

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Elkin, E.S. , Sviridov, S.V.
Parallelization of «the right corner» scheme for numerical solution of an advection equation with delay
(2017) CEUR Workshop Proceedings
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