{"title":"用样条函数法逼近中立型积分微分方程边值问题的解","authors":"I. Cherevko, A. Dorosh, Ivan Haiuk, A. Pertsov","doi":"10.36120/2587-3644.v14i2.7-14","DOIUrl":null,"url":null,"abstract":"Boundary value problems for nonlinear integro-differential equations of the neutral type are investigated. A scheme for approximating the boundary value problem solution using cubic splines of defect two is proposed and substantiated. A model example illustrating the proposed approximation scheme is considered.","PeriodicalId":340784,"journal":{"name":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","volume":"117 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximation of solutions of boundary value problems for integro-differential equations of the neutral type using a spline function method\",\"authors\":\"I. Cherevko, A. Dorosh, Ivan Haiuk, A. Pertsov\",\"doi\":\"10.36120/2587-3644.v14i2.7-14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Boundary value problems for nonlinear integro-differential equations of the neutral type are investigated. A scheme for approximating the boundary value problem solution using cubic splines of defect two is proposed and substantiated. A model example illustrating the proposed approximation scheme is considered.\",\"PeriodicalId\":340784,\"journal\":{\"name\":\"Acta et commentationes: Ştiinţe Exacte şi ale Naturii\",\"volume\":\"117 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Acta et commentationes: Ştiinţe Exacte şi ale Naturii\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.36120/2587-3644.v14i2.7-14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta et commentationes: Ştiinţe Exacte şi ale Naturii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.36120/2587-3644.v14i2.7-14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Approximation of solutions of boundary value problems for integro-differential equations of the neutral type using a spline function method
Boundary value problems for nonlinear integro-differential equations of the neutral type are investigated. A scheme for approximating the boundary value problem solution using cubic splines of defect two is proposed and substantiated. A model example illustrating the proposed approximation scheme is considered.