{"title":"理查兹-克鲁特方程:最先进的","authors":"V. A. Kolesnykov","doi":"10.17721/2706-9699.2022.1.02","DOIUrl":null,"url":null,"abstract":"The article is dedicated to the Richards–Klute equation. A derivation of this equation and several forms of its notation are given. Analytical methods for solving the equation are analyzed. The current state and directions of theoretical research are described. The main numerical methods for solving the equation are presented and the methods of time and space discretization used in them are analyzed. The list of programs for numerical modeling of the Richards– Klute equation is given. Their comparative analysis was carried out. Possible areas of further research are mentioned.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"4 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"RICHARDS–KLUTE EQUATION: THE STATE OF THE ART\",\"authors\":\"V. A. Kolesnykov\",\"doi\":\"10.17721/2706-9699.2022.1.02\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The article is dedicated to the Richards–Klute equation. A derivation of this equation and several forms of its notation are given. Analytical methods for solving the equation are analyzed. The current state and directions of theoretical research are described. The main numerical methods for solving the equation are presented and the methods of time and space discretization used in them are analyzed. The list of programs for numerical modeling of the Richards– Klute equation is given. Their comparative analysis was carried out. Possible areas of further research are mentioned.\",\"PeriodicalId\":40347,\"journal\":{\"name\":\"Journal of Numerical and Applied Mathematics\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Numerical and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.17721/2706-9699.2022.1.02\",\"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/10.17721/2706-9699.2022.1.02","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The article is dedicated to the Richards–Klute equation. A derivation of this equation and several forms of its notation are given. Analytical methods for solving the equation are analyzed. The current state and directions of theoretical research are described. The main numerical methods for solving the equation are presented and the methods of time and space discretization used in them are analyzed. The list of programs for numerical modeling of the Richards– Klute equation is given. Their comparative analysis was carried out. Possible areas of further research are mentioned.
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