{"title":"土壤介质中时间分数型氡扩散方程分数阶的Crank-Nicolson近似","authors":"G. W. Shrimangale","doi":"10.28919/jmcs/7342","DOIUrl":null,"url":null,"abstract":". The basic aim of this paper is to study the analysis for the Crank-Nicolson finite difference approximation for time fractional radon diffusion equation (TFRDE) in soil medium. The equation expresses the concentration of radon as function of space and time in soil medium. We discuss the stability and convergence of the scheme. Graphically the numerical solution of the test problem is carried out with the help of mathematical software Mathematica.","PeriodicalId":36607,"journal":{"name":"Journal of Mathematical and Computational Science","volume":"40 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Crank-Nicolson approximation of fractional order for time fractional radon diffusion equation in soil medium\",\"authors\":\"G. W. Shrimangale\",\"doi\":\"10.28919/jmcs/7342\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". The basic aim of this paper is to study the analysis for the Crank-Nicolson finite difference approximation for time fractional radon diffusion equation (TFRDE) in soil medium. The equation expresses the concentration of radon as function of space and time in soil medium. We discuss the stability and convergence of the scheme. Graphically the numerical solution of the test problem is carried out with the help of mathematical software Mathematica.\",\"PeriodicalId\":36607,\"journal\":{\"name\":\"Journal of Mathematical and Computational Science\",\"volume\":\"40 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical and Computational Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28919/jmcs/7342\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical and Computational Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28919/jmcs/7342","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Crank-Nicolson approximation of fractional order for time fractional radon diffusion equation in soil medium
. The basic aim of this paper is to study the analysis for the Crank-Nicolson finite difference approximation for time fractional radon diffusion equation (TFRDE) in soil medium. The equation expresses the concentration of radon as function of space and time in soil medium. We discuss the stability and convergence of the scheme. Graphically the numerical solution of the test problem is carried out with the help of mathematical software Mathematica.