{"title":"离散网格上的次扩散首次通过时间","authors":"A. Hulianytskyi, Kostiantyn Tokar","doi":"10.17721/2706-9699.2022.1.01","DOIUrl":null,"url":null,"abstract":"In the work considered process of continuous-time random walk, that has fat-tailed jump waiting time, on an equispaced grid of one-dimensional domain with absorbing boundary. Deduced fractional equation w.r.t. cumulative distribution function of first passage time. Obtained asymptotic of density of this variable and shown that it has fat tail.","PeriodicalId":40347,"journal":{"name":"Journal of Numerical and Applied Mathematics","volume":"48 1","pages":""},"PeriodicalIF":0.1000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"SUBDIFFUSION FIRST-PASSAGE TIME ON DISCRETE GRID\",\"authors\":\"A. Hulianytskyi, Kostiantyn Tokar\",\"doi\":\"10.17721/2706-9699.2022.1.01\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the work considered process of continuous-time random walk, that has fat-tailed jump waiting time, on an equispaced grid of one-dimensional domain with absorbing boundary. Deduced fractional equation w.r.t. cumulative distribution function of first passage time. Obtained asymptotic of density of this variable and shown that it has fat tail.\",\"PeriodicalId\":40347,\"journal\":{\"name\":\"Journal of Numerical and Applied Mathematics\",\"volume\":\"48 1\",\"pages\":\"\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2022-01-01\",\"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/10.17721/2706-9699.2022.1.01\",\"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/10.17721/2706-9699.2022.1.01","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In the work considered process of continuous-time random walk, that has fat-tailed jump waiting time, on an equispaced grid of one-dimensional domain with absorbing boundary. Deduced fractional equation w.r.t. cumulative distribution function of first passage time. Obtained asymptotic of density of this variable and shown that it has fat tail.
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