{"title":"Euler-based new solution method for fuzzy initial value problems","authors":"S. Tapaswini, S. Chakraverty","doi":"10.1504/IJAISC.2014.059288","DOIUrl":null,"url":null,"abstract":"This paper targets to investigate the numerical solution of linear, non-linear and system of ordinary differential equations with fuzzy initial condition. Here, two Euler type methods have been proposed in order to obtain numerical solution of the fuzzy differential equations. Along with this, an exact solution methodology is also discussed. Obtained results are depicted in term of plots to show the efficiency of the proposed methods. The solutions are compared with the known results and are found to be in good agreement.","PeriodicalId":364571,"journal":{"name":"Int. J. Artif. Intell. Soft Comput.","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"34","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Int. J. Artif. Intell. Soft Comput.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1504/IJAISC.2014.059288","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 34
Abstract
This paper targets to investigate the numerical solution of linear, non-linear and system of ordinary differential equations with fuzzy initial condition. Here, two Euler type methods have been proposed in order to obtain numerical solution of the fuzzy differential equations. Along with this, an exact solution methodology is also discussed. Obtained results are depicted in term of plots to show the efficiency of the proposed methods. The solutions are compared with the known results and are found to be in good agreement.