{"title":"Numerical Solution of Product Type Fuzzy Volterra Integral Equation","authors":"Qin Chen","doi":"10.32622/ijrat.112202301","DOIUrl":null,"url":null,"abstract":"An iterative algorithm is presented for approximating the solution of the product type fuzzy Volterra integral equation. Firstly, the uniqueness of the solution of the original integral equation is proved by using Banach fixed point theorem. Next, the error estimation of the proposed iterative method is achieved. Finally, two numerical examples are given to illustrate the effectiveness of the method","PeriodicalId":14303,"journal":{"name":"International Journal of Research in Advent Technology","volume":"54 8","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Research in Advent Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.32622/ijrat.112202301","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
An iterative algorithm is presented for approximating the solution of the product type fuzzy Volterra integral equation. Firstly, the uniqueness of the solution of the original integral equation is proved by using Banach fixed point theorem. Next, the error estimation of the proposed iterative method is achieved. Finally, two numerical examples are given to illustrate the effectiveness of the method
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