{"title":"阿贝尔积分方程的解析解","authors":"E. Ziada","doi":"10.21608/njbs.2021.202772","DOIUrl":null,"url":null,"abstract":"In this paper, we apply the Adomian decomposition method (ADM) to solve Abel integral equation of the first and second kind. Abel integral equation is one the most important equations which appear in a lot of applications.","PeriodicalId":210317,"journal":{"name":"Nile Journal of Basic Science","volume":"23 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Analytical solution of Abel integral equation\",\"authors\":\"E. Ziada\",\"doi\":\"10.21608/njbs.2021.202772\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we apply the Adomian decomposition method (ADM) to solve Abel integral equation of the first and second kind. Abel integral equation is one the most important equations which appear in a lot of applications.\",\"PeriodicalId\":210317,\"journal\":{\"name\":\"Nile Journal of Basic Science\",\"volume\":\"23 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nile Journal of Basic Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/njbs.2021.202772\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nile Journal of Basic Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/njbs.2021.202772","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we apply the Adomian decomposition method (ADM) to solve Abel integral equation of the first and second kind. Abel integral equation is one the most important equations which appear in a lot of applications.
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