{"title":"ANALYSIS OF THE CONSTRUCTION OF NUMERICAL METHODS FOR SOLVING THE RICHARDS–KLUTE EQUATION","authors":"V. A. Kolesnykov","doi":"10.17721/2706-9699.2023.1.03","DOIUrl":null,"url":null,"abstract":"In the work numerical methods for solving the Richards–Klute equation and methods of their construction are considered. A new method of constructing an adaptive grid in space is also proposed and numerical methods using it are constructed. A comparative analysis of the data of numerical methods in the conditions of a problem with a known analytical solution was carried out.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"7 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17721/2706-9699.2023.1.03","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
In the work numerical methods for solving the Richards–Klute equation and methods of their construction are considered. A new method of constructing an adaptive grid in space is also proposed and numerical methods using it are constructed. A comparative analysis of the data of numerical methods in the conditions of a problem with a known analytical solution was carried out.