• DocumentCode
    654120
  • Title

    Solving Laplace differential equation using Markov chains in Monte Carlo method

  • Author

    Kokorus, Mario ; Sokolija, Kemo

  • Author_Institution
    Int. Council on Large Electr. Syst., Comm. for Bosnia & Herzegovina, Bosnia-Herzegovina
  • fYear
    2013
  • fDate
    Oct. 30 2013-Nov. 1 2013
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    This paper presents solution to Laplace differential equation by using Markov chains in Monte Carlo method. Considered here was a two-dimensional model that satisfies Dirichlet and Neumann conditions. In particular, electrostatic field was observed in case of homogeneous Neumann condition at one of the domain boundaries.
  • Keywords
    Laplace equations; Markov processes; Monte Carlo methods; differential equations; Dirichlet condition; Laplace differential equation; Markov chains; Monte Carlo method; domain boundaries; electrostatic field; homogeneous Neumann condition; two-dimensional model; Absorption; Electric potential; Electrostatics; Markov processes; Mathematical model; Monte Carlo methods; Vectors; Dirichlet and Neumman conditions; Laplace differential equation; Markov Chains;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information, Communication and Automation Technologies (ICAT), 2013 XXIV International Symposium on
  • Conference_Location
    Sarajevo
  • Type

    conf

  • DOI
    10.1109/ICAT.2013.6684079
  • Filename
    6684079