{"title":"Computational algorithms for a one-dimensional MEP model of charge transfer in semiconductors","authors":"Alesya S. Shevchenko","doi":"10.18822/byusu20230231-42","DOIUrl":null,"url":null,"abstract":"Subject of research: hydrodynamic model describing charge transfer in semiconductor devices in the one-dimensional case. \nPurpose of research: to develop computational algorithms for finding a numerical solution of a ballistic diode problem. \nMethods and objects of research: the object of research is the ballistic diode problem. The developed computational algorithms are based on the use of the method of lines, the method of establishment, various non-stationary regularizations and schemes without saturation. \nMain results of the research: computational schemes were developed based on the use of the spline function technique, on reducing the problem to integral equations and using the predictor-corrector scheme.","PeriodicalId":375097,"journal":{"name":"Yugra State University Bulletin","volume":"10 5","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugra State University Bulletin","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18822/byusu20230231-42","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Subject of research: hydrodynamic model describing charge transfer in semiconductor devices in the one-dimensional case.
Purpose of research: to develop computational algorithms for finding a numerical solution of a ballistic diode problem.
Methods and objects of research: the object of research is the ballistic diode problem. The developed computational algorithms are based on the use of the method of lines, the method of establishment, various non-stationary regularizations and schemes without saturation.
Main results of the research: computational schemes were developed based on the use of the spline function technique, on reducing the problem to integral equations and using the predictor-corrector scheme.