Hamzeh H. Zureigat, Ahmad Izani Ismail, S. Sathasivam
{"title":"模糊数双参数形式下模糊时间分数扩散方程的显式解","authors":"Hamzeh H. Zureigat, Ahmad Izani Ismail, S. Sathasivam","doi":"10.2139/ssrn.3270358","DOIUrl":null,"url":null,"abstract":"Fuzzy fractional diffusion equations are used to model certain physical phenomena. In this paper, two explicit finite difference schemes, that is the forward time centre space (FTCS) and Saulev’s scheme methods are considered for solving fuzzy time fractional diffusion equation. The time fractional derivative is defined using the Caputo formula. The fuzziness is represented using convex normalized triangular fuzzy numbers based on a double parametric form of fuzzy number. A numerical example is presented to illustrate the feasibility of the proposed methods.","PeriodicalId":363330,"journal":{"name":"Computation Theory eJournal","volume":"132 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Explicit Solutions of Fuzzy Time Fractional Diffusion Equations in Double Parametric Form of Fuzzy Number\",\"authors\":\"Hamzeh H. Zureigat, Ahmad Izani Ismail, S. Sathasivam\",\"doi\":\"10.2139/ssrn.3270358\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Fuzzy fractional diffusion equations are used to model certain physical phenomena. In this paper, two explicit finite difference schemes, that is the forward time centre space (FTCS) and Saulev’s scheme methods are considered for solving fuzzy time fractional diffusion equation. The time fractional derivative is defined using the Caputo formula. The fuzziness is represented using convex normalized triangular fuzzy numbers based on a double parametric form of fuzzy number. A numerical example is presented to illustrate the feasibility of the proposed methods.\",\"PeriodicalId\":363330,\"journal\":{\"name\":\"Computation Theory eJournal\",\"volume\":\"132 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Computation Theory eJournal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2139/ssrn.3270358\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Computation Theory eJournal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2139/ssrn.3270358","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Explicit Solutions of Fuzzy Time Fractional Diffusion Equations in Double Parametric Form of Fuzzy Number
Fuzzy fractional diffusion equations are used to model certain physical phenomena. In this paper, two explicit finite difference schemes, that is the forward time centre space (FTCS) and Saulev’s scheme methods are considered for solving fuzzy time fractional diffusion equation. The time fractional derivative is defined using the Caputo formula. The fuzziness is represented using convex normalized triangular fuzzy numbers based on a double parametric form of fuzzy number. A numerical example is presented to illustrate the feasibility of the proposed methods.