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Description
  • This paper deals with solutions of diffusion-type partial dynamic equations on discrete-space domains. We provide two methods for finding explicit solutions, examine their asymptotic behavior and time integrability. These properties depend significantly not only on the underlying time structure but also on the dimension and symmetry of the problem. Throughout the paper, the results are interpreted in the context of random walks and related stochastic processes.
  • This paper deals with solutions of diffusion-type partial dynamic equations on discrete-space domains. We provide two methods for finding explicit solutions, examine their asymptotic behavior and time integrability. These properties depend significantly not only on the underlying time structure but also on the dimension and symmetry of the problem. Throughout the paper, the results are interpreted in the context of random walks and related stochastic processes. (en)
Title
  • Explicit solutions to dynamic diffusion-type equations and their time integrals
  • Explicit solutions to dynamic diffusion-type equations and their time integrals (en)
skos:prefLabel
  • Explicit solutions to dynamic diffusion-type equations and their time integrals
  • Explicit solutions to dynamic diffusion-type equations and their time integrals (en)
skos:notation
  • RIV/00216208:11320/14:10283510!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • I, P(GAP201/12/1757)
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  • May
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  • 16074
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  • RIV/00216208:11320/14:10283510
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  • Random walk; Time scales; Partial dynamic equations; Semidiscrete equations; Heat equation; Diffusion equation (en)
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  • US - Spojené státy americké
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  • [BB18AD760861]
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  • Applied Mathematics and Computation
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  • 234
http://linked.open...iv/tvurceVysledku
  • Stehlík, Petr
  • Slavík, Antonín
http://linked.open...ain/vavai/riv/wos
  • 000335897200044
issn
  • 0096-3003
number of pages
http://bibframe.org/vocab/doi
  • 10.1016/j.amc.2014.01.176
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  • 11320
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