T. Oyedepo, A. A. Ayoade, I. Otaide, A. Ayinde
{"title":"Volterra-Fredholm分数阶积分微分方程的第二类Chebyshev配置技术","authors":"T. Oyedepo, A. A. Ayoade, I. Otaide, A. Ayinde","doi":"10.21580/jnsmr.2022.8.2.13021","DOIUrl":null,"url":null,"abstract":"In this work, we present the numerical solution of fractional order Volterra–Fredholm integro-differential equations using the second kind of Chebyshev collocation technique. First, we transformed the problem into a system of linear algebraic equations, which are then solved using matrix inversion to obtain the unknown constants. Furthermore, numerical examples are used to outline the method’s accuracy and efficiency using tables and figures. The results show that the method performed better in terms of improving accuracy and requiring less rigorous work.©2022 JNSMR UIN Walisongo. All rights reserved.","PeriodicalId":191192,"journal":{"name":"Journal of Natural Sciences and Mathematics Research","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Second kind Chebyshev collocation technique for Volterra-Fredholm fractional order integro-differential equations\",\"authors\":\"T. Oyedepo, A. A. Ayoade, I. Otaide, A. Ayinde\",\"doi\":\"10.21580/jnsmr.2022.8.2.13021\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we present the numerical solution of fractional order Volterra–Fredholm integro-differential equations using the second kind of Chebyshev collocation technique. First, we transformed the problem into a system of linear algebraic equations, which are then solved using matrix inversion to obtain the unknown constants. Furthermore, numerical examples are used to outline the method’s accuracy and efficiency using tables and figures. The results show that the method performed better in terms of improving accuracy and requiring less rigorous work.©2022 JNSMR UIN Walisongo. All rights reserved.\",\"PeriodicalId\":191192,\"journal\":{\"name\":\"Journal of Natural Sciences and Mathematics Research\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Natural Sciences and Mathematics Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21580/jnsmr.2022.8.2.13021\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Natural Sciences and Mathematics Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21580/jnsmr.2022.8.2.13021","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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