Мельцайкин Евгений Андреевич, Meltsaykin Evgeniy, Andreevich, Ushakov Andrey, Leonidovich
{"title":"Analysis of Biharmonic and Harmonic Models by the Methods of Iterative Extensions","authors":"Мельцайкин Евгений Андреевич, Meltsaykin Evgeniy, Andreevich, Ushakov Andrey, Leonidovich","doi":"10.14529/mmp220304","DOIUrl":null,"url":null,"abstract":". The article describes the analysis of biharmonic models by iterative extension methods. Various stationary physical systems in mechanics are modeled using boundary value problems for inhomogeneous Sophie Germain. Using the biharmonic model, i.e. boundary value problem for the inhomogeneous Sophie Germain equation, describe the deflection of plates, flows during fluid flows. With the help of the developed methods of iterative extensions, efficient algorithms for solving the problems under consideration are obtained.","PeriodicalId":44106,"journal":{"name":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","volume":null,"pages":null},"PeriodicalIF":0.2000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of the South Ural State University Series-Mathematical Modelling Programming & Computer Software","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.14529/mmp220304","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 2
Abstract
. The article describes the analysis of biharmonic models by iterative extension methods. Various stationary physical systems in mechanics are modeled using boundary value problems for inhomogeneous Sophie Germain. Using the biharmonic model, i.e. boundary value problem for the inhomogeneous Sophie Germain equation, describe the deflection of plates, flows during fluid flows. With the help of the developed methods of iterative extensions, efficient algorithms for solving the problems under consideration are obtained.
期刊介绍：
Series «Mathematical Modelling, Programming & Computer Software» of the South Ural State University Bulletin was created in 2008. Nowadays it is published four times a year. The basic goal of the editorial board as well as the editorial commission of series «Mathematical Modelling, Programming & Computer Software» is research promotion in the sphere of mathematical modelling in natural, engineering and economic science. Priority publication right is given to: -the results of high-quality research of mathematical models, revealing less obvious properties; -the results of computational research, containing designs of new computational algorithms relating to mathematical models; -program systems, designed for computational experiments.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
