{"title":"用SBA数值方法求解第一类Abel积分方程","authors":"Y. Paré, A. Bakari, Rasmané Yaro, B. Somé","doi":"10.12988/NADE.2013.13013","DOIUrl":null,"url":null,"abstract":"Our goal in this paper is to use the SBA numerical method (combination of Adomian method and Picard successive approximations), to solve first kind Abel integration equations. In this work, we shall describe the SBA method and study the convergence of this method applied to first kind Volterra general integral. 116 Youssouf Pare et al.","PeriodicalId":315586,"journal":{"name":"Nonlinear Analysis and Differential Equations","volume":"22 11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Solving first kind Abel integral equations using the SBA numerical method\",\"authors\":\"Y. Paré, A. Bakari, Rasmané Yaro, B. Somé\",\"doi\":\"10.12988/NADE.2013.13013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Our goal in this paper is to use the SBA numerical method (combination of Adomian method and Picard successive approximations), to solve first kind Abel integration equations. In this work, we shall describe the SBA method and study the convergence of this method applied to first kind Volterra general integral. 116 Youssouf Pare et al.\",\"PeriodicalId\":315586,\"journal\":{\"name\":\"Nonlinear Analysis and Differential Equations\",\"volume\":\"22 11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis and Differential Equations\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/NADE.2013.13013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis and Differential Equations","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/NADE.2013.13013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Solving first kind Abel integral equations using the SBA numerical method
Our goal in this paper is to use the SBA numerical method (combination of Adomian method and Picard successive approximations), to solve first kind Abel integration equations. In this work, we shall describe the SBA method and study the convergence of this method applied to first kind Volterra general integral. 116 Youssouf Pare et al.