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
fDate :
Oct. 30 2013-Nov. 1 2013
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;
Conference_Titel :
Information, Communication and Automation Technologies (ICAT), 2013 XXIV International Symposium on
Conference_Location :
Sarajevo
DOI :
10.1109/ICAT.2013.6684079
