{"title":"求解richards-klute方程数值方法的构造分析","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":"{\"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}","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}
ANALYSIS OF THE CONSTRUCTION OF NUMERICAL METHODS FOR SOLVING THE RICHARDS–KLUTE EQUATION
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.
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