P. Hammachukiattikul, B. Unyong, R. Suresh, G. Rajchakit, R. Vadivel, N. Gunasekaran
{"title":"Runge-Kutta Fehlberg Method for Solving Linear and Nonlinear Fuzzy Fredholm Integro-Differential Equations","authors":"P. Hammachukiattikul, B. Unyong, R. Suresh, G. Rajchakit, R. Vadivel, N. Gunasekaran","doi":"10.18576/AMIS/150106","DOIUrl":null,"url":null,"abstract":"A study on the parametric form of fuzzy numbers is presented in this paper. The Runge-Kutta Fehlberg method is exploited to yield the approximate solution with respect to the second type of fuzzy Fredholm integro-differential equations. Both linear and nonlinear numerical examples are provided in our analysis. The results ascertain the effectiveness and precision of the proposed method.","PeriodicalId":49266,"journal":{"name":"Applied Mathematics & Information Sciences","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics & Information Sciences","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.18576/AMIS/150106","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 2
Abstract
A study on the parametric form of fuzzy numbers is presented in this paper. The Runge-Kutta Fehlberg method is exploited to yield the approximate solution with respect to the second type of fuzzy Fredholm integro-differential equations. Both linear and nonlinear numerical examples are provided in our analysis. The results ascertain the effectiveness and precision of the proposed method.
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