{"title":"Solving Laplace differential equation using Markov chains in Monte Carlo method","authors":"M. Kokorus, K. Sokolija","doi":"10.1109/ICAT.2013.6684079","DOIUrl":null,"url":null,"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.","PeriodicalId":348701,"journal":{"name":"2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2013-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2013 XXIV International Conference on Information, Communication and Automation Technologies (ICAT)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICAT.2013.6684079","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
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.