V. Wasques, E. Esmi, Cristina Sacilotto, L. C. Barros
{"title":"通过 Jγ 交互运算对马尔萨斯模型进行模糊数值求解","authors":"V. Wasques, E. Esmi, Cristina Sacilotto, L. C. Barros","doi":"10.5540/03.2023.010.01.0057","DOIUrl":null,"url":null,"abstract":". This work provides a numerical solution to the Malthusian model, considering the initial condition as a fuzzy value. The numerical solution is provided from Euler’s method, in which the operations built into the method are adapted to fuzzy numbers. This numerical solution is compatible with the analytical solution obtained from the generalized Hukuhara derivative. An example is presented to illustrate the methodology.","PeriodicalId":274912,"journal":{"name":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","volume":"18 12","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Fuzzy numerical solution to the Malthusian model via Jγ-interactive arithmetic\",\"authors\":\"V. Wasques, E. Esmi, Cristina Sacilotto, L. C. Barros\",\"doi\":\"10.5540/03.2023.010.01.0057\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This work provides a numerical solution to the Malthusian model, considering the initial condition as a fuzzy value. The numerical solution is provided from Euler’s method, in which the operations built into the method are adapted to fuzzy numbers. This numerical solution is compatible with the analytical solution obtained from the generalized Hukuhara derivative. An example is presented to illustrate the methodology.\",\"PeriodicalId\":274912,\"journal\":{\"name\":\"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics\",\"volume\":\"18 12\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-12-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5540/03.2023.010.01.0057\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding Series of the Brazilian Society of Computational and Applied Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5540/03.2023.010.01.0057","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Fuzzy numerical solution to the Malthusian model via Jγ-interactive arithmetic
. This work provides a numerical solution to the Malthusian model, considering the initial condition as a fuzzy value. The numerical solution is provided from Euler’s method, in which the operations built into the method are adapted to fuzzy numbers. This numerical solution is compatible with the analytical solution obtained from the generalized Hukuhara derivative. An example is presented to illustrate the methodology.