{"title":"指数拟合搭配算法在求解n阶Fredholm积分微分方程中的应用","authors":"F. Iyanda, Taiwo. O. Adebayo","doi":"10.30880/jst.2023.15.01.004","DOIUrl":null,"url":null,"abstract":"In this paper, we seek to build and applyan exponentially fitted collocation algorithm (EFCA) for the solutions of nth-order Fredholm type integrodifferential equations. For this purpose, an EFCA was formulated and applied to solvefour examples from the literature. Numerical experiment was performed and the results were compared with the exact solutions, and some existing methods. From the four examples considered, the results obtained showed that the proposed algorithmis fast, efficient, and reliable.","PeriodicalId":21913,"journal":{"name":"Songklanakarin Journal of Science and Technology","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Application of Exponentially Fitted Collocation Algorithm for Solving nth-Order Fredholm Integrodifferential Equations\",\"authors\":\"F. Iyanda, Taiwo. O. Adebayo\",\"doi\":\"10.30880/jst.2023.15.01.004\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we seek to build and applyan exponentially fitted collocation algorithm (EFCA) for the solutions of nth-order Fredholm type integrodifferential equations. For this purpose, an EFCA was formulated and applied to solvefour examples from the literature. Numerical experiment was performed and the results were compared with the exact solutions, and some existing methods. From the four examples considered, the results obtained showed that the proposed algorithmis fast, efficient, and reliable.\",\"PeriodicalId\":21913,\"journal\":{\"name\":\"Songklanakarin Journal of Science and Technology\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Songklanakarin Journal of Science and Technology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.30880/jst.2023.15.01.004\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Multidisciplinary\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Songklanakarin Journal of Science and Technology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30880/jst.2023.15.01.004","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Multidisciplinary","Score":null,"Total":0}
Application of Exponentially Fitted Collocation Algorithm for Solving nth-Order Fredholm Integrodifferential Equations
In this paper, we seek to build and applyan exponentially fitted collocation algorithm (EFCA) for the solutions of nth-order Fredholm type integrodifferential equations. For this purpose, an EFCA was formulated and applied to solvefour examples from the literature. Numerical experiment was performed and the results were compared with the exact solutions, and some existing methods. From the four examples considered, the results obtained showed that the proposed algorithmis fast, efficient, and reliable.
期刊介绍:
Songklanakarin Journal of Science and Technology (SJST) aims to provide an interdisciplinary platform for the dissemination of current knowledge and advances in science and technology. Areas covered include Agricultural and Biological Sciences, Biotechnology and Agro-Industry, Chemistry and Pharmaceutical Sciences, Engineering and Industrial Research, Environmental and Natural Resources, and Physical Sciences and Mathematics. Songklanakarin Journal of Science and Technology publishes original research work, either as full length articles or as short communications, technical articles, and review articles.