{"title":"求解Fredholm积分方程的修正数值方法","authors":"M. H. Suhhiem, M. Lafta","doi":"10.22457/jmi.136av16a6","DOIUrl":null,"url":null,"abstract":"Abstract. In this work, we have presented a novel method to f ind the numerical solution of the linear Ferdholm integral equation of second kind. This method is based on the Taylor series multiplied by an exponential function to approximate the kernel as a summation of multiplication functions. The presente d method has high accurate when compare its results with the other numerical method s results.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"42 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2019-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Modified Numerical Method for Solving Fredholm Integral Equations\",\"authors\":\"M. H. Suhhiem, M. Lafta\",\"doi\":\"10.22457/jmi.136av16a6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract. In this work, we have presented a novel method to f ind the numerical solution of the linear Ferdholm integral equation of second kind. This method is based on the Taylor series multiplied by an exponential function to approximate the kernel as a summation of multiplication functions. The presente d method has high accurate when compare its results with the other numerical method s results.\",\"PeriodicalId\":43016,\"journal\":{\"name\":\"Journal of Applied Mathematics Statistics and Informatics\",\"volume\":\"42 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2019-06-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics Statistics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/jmi.136av16a6\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/jmi.136av16a6","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Modified Numerical Method for Solving Fredholm Integral Equations
Abstract. In this work, we have presented a novel method to f ind the numerical solution of the linear Ferdholm integral equation of second kind. This method is based on the Taylor series multiplied by an exponential function to approximate the kernel as a summation of multiplication functions. The presente d method has high accurate when compare its results with the other numerical method s results.