{"title":"一类新的非线性积分-微分Fredholm-Chandrasekhar方程","authors":"A. Khellaf, M. Benssaad, S. Lemita","doi":"10.5269/bspm.63023","DOIUrl":null,"url":null,"abstract":"This paper presents an analytical and numerical study of a new integro-differential Fredholm-Chandrasekhar equation of the second type. We suggest the conditions that ensure the existence and uniqueness of the nonlinear problem's solution. Then, we create a numerical technique based on the Nystr\\\"{o}m's method. The numerical application illustrates the efficiency of the proposed process.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On a new nonlinear integro-differential Fredholm-Chandrasekhar equation\",\"authors\":\"A. Khellaf, M. Benssaad, S. Lemita\",\"doi\":\"10.5269/bspm.63023\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents an analytical and numerical study of a new integro-differential Fredholm-Chandrasekhar equation of the second type. We suggest the conditions that ensure the existence and uniqueness of the nonlinear problem's solution. Then, we create a numerical technique based on the Nystr\\\\\\\"{o}m's method. The numerical application illustrates the efficiency of the proposed process.\",\"PeriodicalId\":44941,\"journal\":{\"name\":\"Boletim Sociedade Paranaense de Matematica\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-12-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Boletim Sociedade Paranaense de Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5269/bspm.63023\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Boletim Sociedade Paranaense de Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5269/bspm.63023","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On a new nonlinear integro-differential Fredholm-Chandrasekhar equation
This paper presents an analytical and numerical study of a new integro-differential Fredholm-Chandrasekhar equation of the second type. We suggest the conditions that ensure the existence and uniqueness of the nonlinear problem's solution. Then, we create a numerical technique based on the Nystr\"{o}m's method. The numerical application illustrates the efficiency of the proposed process.